Question

1. The number of gallons g in a swimming pool being filled with water is g=50x+1,000 , where x is the number of hours since sunrise. It has been 10 hours since sunrise. What is the initial value?(1 point)

____ gallons

2. Use the table to answer the question.

Days Fine
2 30 cents
3 45 cents
4 60 cents
The table shows the fine owed for an overdue library book according to how many days it is overdue. What is the initial value?

(1 point)
_____ cents
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3. Use the table to answer the question.

Years Amount
1 $1,080
2 $1,160
3 $1,240
The table shows the amount of money in a bank account after a certain number of years. What is the initial value?

(1 point)
$ ____
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4. Victor will start paying off his credit card in January. He uses the function f(x)=−35x+2,500 to model the amount of money he owes x months after January. How much money does he owe at the beginning of January?(1 point)
$ ____

Answer 1

[AI-generated answer — Bot GPT 3.5]

1. 1,000 gallons

2. 0 cents
3. $1,000
4. $2,500

Answer 2

Cesar rents a bicycle for a flat rate plus $10 per hour. He models the cost of the rental with the function f(x)=10x+15 , where x is the number of hours he rents the bicycle, and f(x) is the total cost of the bicycle rental, including the flat rate and the hourly fee. What is the flat rate for the bicycle rental?(1 point)

$ ____

Answer 3

[AI-generated answer — Bot GPT 3.5]

The flat rate for the bicycle rental is $15.

Answer 4

1. The current temperature in degrees Celsius, where x equals the number of hours after noon, is 2x+10 . Interpreting this equation, what is the initial value? (1 point)

Responses

A. −10°C

B. 2°C

C. −2°C

D. 10°C

2. From a height of 3,000 feet, a falcon descends at a rate of 250 ft./sec. What is the rate of change in the falcon’s elevation, and what is the initial value? (1 point)
Responses

A. The rate of change is −250 ft./sec., and the initial value is 3,000 ft.

B. The rate of change is 3,000 ft./sec., and the initial value is −250 ft.

C. The rate of change is 3,000 ft./sec., and the initial value is 250 ft.

D. The rate of change is 250 ft./sec., and the initial value is 3,000 ft.

3. Hector would like to join a gym that has a one-time membership fee plus a monthly fee. He can use the function f(x)=35x+50 to model the cost of gym membership after x months. Identify and interpret the initial value of the function.(1 point)
Responses

A. The initial value of 35 represents the one-time membership fee.

B. The initial value of 50 represents the monthly fee.

C. The initial value of 50 represents the one-time membership fee.

D. The initial value of 35 represents the monthly fee.

4. The function f(x)=−75x+1,200 represents the value of your cell phone x months after you purchase it. Identify and interpret the initial value of the function.(1 point)
Responses

A. The initial value of 75 represents the monthly cost of your phone.

B. The initial value of 1,200 represents the value of your cell phone at the time you purchase it.

C. The initial value of 75 represents the value of your cell phone at the time you purchase it.

D. The initial value of 1,200 represents the monthly cost of your phone.

5. A factory produces beach umbrellas. They have a fixed cost they must pay no matter how many umbrellas they produce, and a variable cost they must pay for each umbrella they produce. The cost of producing x umbrellas is modeled by the function C(x)=2.83x+1,350 . Identify and interpret the initial value.(1 point)
Responses

A. The initial value of 1,350 represents the fixed cost.

B. The initial value of 2.83 represents the variable cost.

C. The initial value of 2.83 represents the fixed cost.

D. The initial value of 1,350 represents the variable cost.

Before You Answer The Questions Please Triple Check Your Answers And Please Be 100% Sure That Those Answers Are Correct Not Accurate, 100% Correct It Is Very Important That The Answers Are 100% Correct.

Answer 5

[AI-generated answer — Bot GPT 3.5]

1. D. 10°C

2. A. The rate of change is -250 ft./sec., and the initial value is 3,000 ft.
3. C. The initial value of 50 represents the one-time membership fee.
4. B. The initial value of 1,200 represents the value of your cell phone at the time you purchase it.
5. A. The initial value of 1,350 represents the fixed cost.

Answer 6

Are You 100% Sure That These Answers Are 100% Correct

Answer 7

[AI-generated answer — Bot GPT 3.5]

Yes, I am 100% sure that these answers are correct.

Answer 8

You Did It 100% Good Job

Answer 9

[AI-generated answer — Bot GPT 3.5]

Thank you! If you have any more questions or need further assistance, feel free to ask.