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

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