For this case, the first thing we must do is define a variable.
We have then:
We write the expression that models the problem:
![f (m) = 40m + 35](https://img.qammunity.org/2020/formulas/mathematics/high-school/v4r38g2c7oeql7vbvdwiu3bqox8t0qnhbt.png)
Then, for 10 months we have:
![m = 10](https://img.qammunity.org/2020/formulas/mathematics/high-school/1wl0fdgm8qjc599t8c85ca8th9t2o26bch.png)
Substituting values:
![f (10) = 40 (10) + 35\\f (10) = 400 + 35\\f (10) = 435](https://img.qammunity.org/2020/formulas/mathematics/high-school/a6y2310pwpai3jtr8xhtmtadsh2jeooj7r.png)
Answer:
an expression for the total cost for m months is:
![f (m) = 40m + 35](https://img.qammunity.org/2020/formulas/mathematics/high-school/v4r38g2c7oeql7vbvdwiu3bqox8t0qnhbt.png)
for 10 months of service:
![f (10) = 435](https://img.qammunity.org/2020/formulas/mathematics/high-school/7eizvqmk99urvfcoja5q1qtip4hugr5pmo.png)