Question

heather spends $15 each time she travels the toll roads. she started the month with $225 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.$a(t)=225-15t$answer the following questions.(a) how many trips on the toll roads can heather take until her account is empty?$square$ trips(b) how much money does she have left in the account after 11 trips on the toll roads?$$$ $square$

Explanation:

Step1: Set $A(t)=0$, solve for $t$

$$0=225-15t$$
$$15t=225$$
$$t=\frac{225}{15}$$

Step2: Calculate total trips

$$t=15$$

Step3: Substitute $t=11$ into $A(t)$

$$A(11)=225-15\times11$$

Step4: Calculate remaining money

$$A(11)=225-165=60$$

Answer:

(a) 15 trips
(b) $\$60$