Question

Maeve currently has $130 and plans to earn more money each of the 8 weekends this summer. She wants at least $1,250 by the end of the summer. How much does she need to earn each weekend? Assume she earns the same amount each weekend. Solve her problem, and then graph the solution on a number line.(1 point)

Responses

An illustration shows a number line labeled Maeve’s Earnings This Summer. The number line ranges from 0 to 180 in 20 unit increments. A closed point is plotted at 140. An arrow extends from that point to the right and goes beyond 180.
Image with alt text: An illustration shows a number line labeled Maeve’s Earnings This Summer. The number line ranges from 0 to 180 in 20 unit increments. A closed point is plotted at 140. An arrow extends from that point to the right and goes beyond 180.

An illustration shows a number line labeled Maeve's Earnings. The number line ranges from 0 to 90 in 10 unit increments. A closed point is plotted at 10. An arrow extends from that point to the right and goes beyond 90.
Image with alt text: An illustration shows a number line labeled Maeve's Earnings. The number line ranges from 0 to 90 in 10 unit increments. A closed point is plotted at 10. An arrow extends from that point to the right and goes beyond 90.

An illustration shows a number line labeled Maeve's Earnings Each Weekend. The number line ranges from 0 to 180 in 20 unit increments. A closed point is plotted at 140. An arrow extends from that point to the right and goes beyond 180.
Image with alt text: An illustration shows a number line labeled Maeve's Earnings Each Weekend. The number line ranges from 0 to 180 in 20 unit increments. A closed point is plotted at 140. An arrow extends from that point to the right and goes beyond 180.

An illustration shows a number line labeled Maeve’s Earnings Each Weekend. The number line ranges from 0 to 2,000 in 500 unit increments. A closed point is plotted at 1,250. An arrow extends from that point to the right and goes beyond 2,000.
Image with alt text: An illustration shows a number line labeled Maeve’s Earnings Each Weekend. The number line ranges from 0 to 2,000 in 500 unit increments. A closed point is plotted at 1,250. An arrow extends from that point to the right and goes beyond 2,000.
Skip to navigation

Answer 1

[AI-generated answer — Bot GPT 3.5]

The correct answer is: An illustration shows a number line labeled Maeve’s Earnings Each Weekend. The number line ranges from 0 to 2,000 in 500 unit increments. A closed point is plotted at 1,250. An arrow extends from that point to the right and goes beyond 2,000.

Answer 2

are u sure

Answer 3

[AI-generated answer — Bot GPT 3.5]

Yes, I am sure. Maeve needs to earn at least $1,250 by the end of the summer. Since she has $130 already, she needs to earn an additional $1,250 - $130 = $1,120.

She has 8 weekends to earn this amount, so she needs to earn $1,120 / 8 = $140 per weekend.

Therefore, the correct answer is: An illustration shows a number line labeled Maeve’s Earnings Each Weekend. The number line ranges from 0 to 2,000 in 500 unit increments. A closed point is plotted at 1,250. An arrow extends from that point to the right and goes beyond 2,000.

Answer 4

Kris currently has $190 and plans to earn more money each of the 8 weekends this summer. She wants at least $1,625 by the end of the summer. Write and solve an inequality for the amount of money Kris needs to earn each weekend. Which answer choice best interprets the solution in the context of the problem?(1 point)

Responses

Kris needs to earn $105 more to meet her goal.
Kris needs to earn $105 more to meet her goal.

Kris needs $179.38 more to meet her goal.
Kris needs $179.38 more to meet her goal.

Kris needs to earn $13.13 each hour to meet her goal.
Kris needs to earn $13.13 each hour to meet her goal.

Kris needs to earn at least $179.38 each weekend to meet her goal.

Answer 5

[AI-generated answer — Bot GPT 3.5]

To find the amount of money Kris needs to earn each weekend, we can subtract the current amount she has from her goal and then divide that by the number of weekends.

Kris currently has $190 and wants at least $1,625 by the end of the summer.

The amount she needs to earn is: $1,625 - $190 = $1,435.

She has 8 weekends to earn this amount, so the amount she needs to earn each weekend is: $1,435 / 8 = $179.38.

Therefore, the correct answer is: Kris needs to earn at least $179.38 each weekend to meet her goal.

Answer 6

Teddy is solving the following problem: James earns $400 a week plus $5 in tips for each customer he serves. He is hoping to earn more than $1,000 this week. How many customers would he have to serve to meet his goal? Describe the solutions. Teddy writes the inequality 5x+400>1,000 , where x is the number of customers James serves. Teddy solves the inequality and finds that x>120 . How should Teddy interpret this solution in the context of the problem?(1 point)

Responses

James needs to earn at least $120 each day this week to meet his goal.
James needs to earn at least $120 each day this week to meet his goal.

James needs to serve at least 120 customers this week to meet his goal.
James needs to serve at least 120 customers this week to meet his goal.

James needs to earn more than $120 each day this week to meet his goal.
James needs to earn more than $120 each day this week to meet his goal.

James needs to serve more than 120 customers this week to meet his goal.

Answer 7

[AI-generated answer — Bot GPT 3.5]

Teddy should interpret the solution as: James needs to serve at least 120 customers this week to meet his goal.

The inequality x > 120 indicates that the number of customers James serves must be greater than 120 in order for him to earn more than $1,000. Therefore, Teddy correctly interpreted the solution, stating that James needs to serve at least 120 customers this week to meet his goal.

Answer 8

Jada has challenged herself to do at least 100 full push-ups this week. On Sunday, she does 30 push-ups. Her arms are sore, so she decides to do fewer push-ups on the remaining days of the week. She wants to do the same number of push-ups each day for the rest of the week. Write and solve an inequality for the number of push-ups Jada needs to do each day for the rest of the week to meet her goal of 100 push-ups. Which answer choice best interprets the solution in the context of the problem?(1 point)

Responses

Jada needs to do at least 12 push-ups each day for the rest of the week to meet her goal.
Jada needs to do at least 12 push-ups each day for the rest of the week to meet her goal.

Jada needs to do at least 10 push-ups each day for the rest of the week to meet her goal.
Jada needs to do at least 10 push-ups each day for the rest of the week to meet her goal.

Jada needs to do push-ups for at least 12 more days to meet her goal.
Jada needs to do push-ups for at least 12 more days to meet her goal.

Jada needs to do at least 14 push-ups each day for the rest of the week to meet her goal.

Answer 9

[AI-generated answer — Bot GPT 3.5]

To find the number of push-ups Jada needs to do each day for the rest of the week to meet her goal of 100 push-ups, we can subtract the 30 push-ups she already did from the total goal of 100 push-ups.

Jada needs to do at least 100 - 30 = 70 more push-ups.

Since she wants to do the same number of push-ups each day for the rest of the week, we need to divide the 70 push-ups evenly among the remaining days.

To do this, we divide 70 by the number of remaining days.

If there are 7 days in a week and Jada already did push-ups on Sunday, that leaves 6 remaining days.

Therefore, Jada needs to do at least 70 / 6 = 11.67 push-ups each day.

Since Jada cannot do a fraction of a push-up, we round up to the nearest whole number.

Therefore, the correct answer is: Jada needs to do at least 12 push-ups each day for the rest of the week to meet her goal.

Answer 10

Question

Lionel is loading boxes of books into an elevator to move to the 35th floor of an office building. There are 10 boxes of books, and Lionel wants to make sure he is not exceeding the maximum weight of the elevator, which is 2,000 pounds. Lionel weighs 170 pounds. If each box of books weighs the same amount, how much can each box weigh? Solve this problem and then graph the solution on a number line.(1 point)
Responses

An illustration shows a number line labeled Weight of Each Box in the Elevator. The number line ranges from 0 to 200 in 20 unit increments. A closed point is plotted at 0. A line extends from that point to the right, connecting with a closed point at 183.
Image with alt text: An illustration shows a number line labeled Weight of Each Box in the Elevator. The number line ranges from 0 to 200 in 20 unit increments. A closed point is plotted at 0. A line extends from that point to the right, connecting with a closed point at 183.

An illustration shows a number line labeled Weight of Each Box in the Elevator. The number line ranges from 0 to 200 in 50 unit increments. A closed point is plotted at 0. A line extends from that point to the right, connecting with a closed point at 200.
Image with alt text: An illustration shows a number line labeled Weight of Each Box in the Elevator. The number line ranges from 0 to 200 in 50 unit increments. A closed point is plotted at 0. A line extends from that point to the right, connecting with a closed point at 200.

An illustration shows a number line labeled Weight of Each Box in the Elevator. The number line ranges from 50 to 300 in 50 unit increments. A closed point is plotted at 183. A line extends from that point to the right and goes beyond 300.
Image with alt text: An illustration shows a number line labeled Weight of Each Box in the Elevator. The number line ranges from 50 to 300 in 50 unit increments. A closed point is plotted at 183. A line extends from that point to the right and goes beyond 300.

An illustration shows a number line labeled Weight of Each Box in the Elevator. The number line ranges from 50 to 300 in 50 unit increments. A closed point is plotted at 200. A line extends from that point to the right and goes beyond 300.
Image with alt text: An illustration shows a number line labeled Weight of Each Box in the Elevator. The number line ranges from 50 to 300 in 50 unit increments. A closed point is plotted at 200. A line extends from that point to the right and goes beyond 300.
Skip to navigation

Answer 11

[AI-generated answer — Bot GPT 3.5]

The correct answer is: An illustration shows a number line labeled Weight of Each Box in the Elevator. The number line ranges from 0 to 200 in 50 unit increments. A closed point is plotted at 0. A line extends from that point to the right, connecting with a closed point at 183.

To find out how much each box can weigh, we need to subtract the weight of Lionel and the weight of the empty elevator from the maximum weight capacity of the elevator.

The maximum weight capacity of the elevator is 2,000 pounds.

Lionel weighs 170 pounds.

Let's assume the weight of each box is x pounds.

Therefore, the equation becomes:

10x + 170 ≤ 2000

Subtracting 170 from both sides:

10x ≤ 2000 - 170

10x ≤ 1830

Dividing both sides by 10:

x ≤ 183

Therefore, each box can weigh at most 183 pounds.

Thus, the correct interpretation is: An illustration shows a number line labeled Weight of Each Box in the Elevator. The number line ranges from 0 to 200 in 50 unit increments. A closed point is plotted at 0. A line extends from that point to the right, connecting with a closed point at 183.