Question

The following situation can be modeled by a linear function. Write an equation for the linear function and use it to answer the given question. Be sure you clearly identify the independent and dependent variables. Is a linear model reasonable for the situation​ described? You can rent time on computers at the local copy center for an ​$8 setup charge and an additional ​$5.50 for every 10 minutes. How much time can be rented for ​$25​?
Select the correct choice below and fill in the answer box to complete your choice. A. The independent variable is rental cost​ (r), in​ dollars, and the dependent variable is time​ (t), in minutes. The linear function that models this situation is t equals to . ​(Simplify your answer. Do not include the​ $ symbol in your​ answer.)

B. The independent variable is time​ (t), in​ minutes, and the dependent variable is rental cost​ (r), in dollars. The linear function that models this situation is r equals .

​(Simplify your answer. Do not include the​ $ symbol in your​ answer.)

How many minutes can be rented for ​$25. ​(Round to the nearest minute as​ needed.)

A linear model reasonable for this situation

Answer 1

Answer:

Part 1) Option B. The independent variable is time​ (t), in​ minutes, and the dependent variable is rental cost​ (r), in dollars. The linear function that models this situation is r equals to r=0.55x+8

Part 2) 30 minutes

Step-by-step explanation:

Part 1)

Let

r ------> the rental cost (dependent variable)

t -----> the time in minutes (independent variable)

The linear equation that represent this problem is equal to

r=(5.50/10)t+8

r=0.55t+8

Part 2) How many minutes can be rented for ​$25. ​(Round to the nearest minute as​ needed.)

we have

r=0.55t+8

For r=$25

substitute and solve for t

25=0.55t+8

0.55t=25-8

0.55t=17

t=30.9 minutes

Round down

t=30 minutes

Note If you round up to 31 minutes the rental cost exceed $25