Question

Nicole spends $14 each time she travels all the roads. She started the month with $224 in her toll road account. The amount, A (in dollars), that she has left in the account after t trips on the toll roads is given by the following function.

A(t)=224-14t

Answer the following questions:

How much money does Nicole have left in the account after 11 trips on the toll roads?

How many trips on the toll roads can she take until her account is empty?

Answer 1

We want to answer some things about linear equations, we will see that:

• a) After 11 trips she has $70
• b) She can do a maximum of 16 trips.

Working with linear equations.

Here we have the linear equation:

A(t) = 224 - 14*t

Where A(t) is how much money she has, and t represents the number of trips.

So, if she does 11 trips, then we just replace t by 11 in the equation:

A(11) = 224 - 14*11 = 70

This means that after 11 trips she has $70 left.

To get the total number of trips that she can do we need to solve:

A(t) = 0 = 224 - 14*t

14*t = 224

t = 224/14  = 16

This means that she can do 16 trips until her account is empty.

If you want to learn more about linear equations, you can read:

https://brainly.com/question/4074386