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 $179.38 more to meet her goal.
Kris needs $179.38 more to meet her goal.
Kris needs to earn at least $179.38 each weekend to meet her goal.
Kris needs to earn at least $179.38 each weekend to meet her goal.
Kris needs to earn $105 more to meet her goal.
Kris needs to earn $105 more to meet her goal.
Kris needs to earn $13.13 each hour to meet her goal.
Let x be the amount of money Kris needs to earn each weekend.
Since there are 8 weekends in the summer, Kris will earn a total of 8x.
We can write the inequality as 190 + 8x ≥ 1625.
Subtracting 190 from both sides, we get 8x ≥ 1435.
Dividing both sides by 8, we get x ≥ 179.38.
The best interpretation of the solution in the context of the problem is: Kris needs to earn at least $179.38 each weekend to meet her goal.
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 14 push-ups each day for the rest of the week 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.
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 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.
Let x be the number of push-ups Jada needs to do each day for the rest of the week.
Since she already did 30 push-ups on Sunday, she needs to do 100 - 30 = 70 more push-ups.
Since she wants to do the same number of push-ups each day, she needs to do a total of 70 push-ups in the remaining days of the week.
Dividing 70 by x, we get x ≥ 70/7 = 10.
The best interpretation of the solution in the context of the problem is: Jada needs to do at least 10 push-ups each day for the rest of the week to meet her goal.