Question

O GRAPHS AND FUNCTIONSFinding inputs and outputs of a two-step function that models a...

Answer 1

Given the function:

`A(t)=256-16t`

Where A is the amount of money (in dollars) Diane has left in her account after t trips on the toll roads.

(a)

After 8 trips on the toll roads (t = 8):

`\begin{gathered} A(8)=256-16(8)=256-128 \\ \\ \therefore A(8)=\$128 \end{gathered}`

(b)

If her account is empty:

`\begin{gathered} A(t)=0 \\ \\ \Rightarrow256-16t=0 \end{gathered}`

Solving the equation for t:

`\begin{gathered} 256=16t \\ \\ \therefore t=16\text{ trips} \end{gathered}`