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

Answer:

11 trips on the toll road can be represented by replacing the variable t with 11:

A(11) = 224 - 14(11)

A(11) = 224 - 154

A(11) = 70 dollars.

You can solve for Nicole's account being empty by setting y equal to 0 (how much money she has left):

0 = 224 - 14t

14t = 224

t = 224/14

t = 16 trips on the toll road before Nicole runs out of money.