Question

The gas tank of a certain car contains 14 gal when the driver of the car begins a trip. Each mile driven by the driver decreases the amt of gas in the tank by 0.025 gal. a) Write a linear function for the number of gal of gas in the tank in terms of the number of miles driven.b) Use your equation to find the number of gal im the tank after 180 mes are driven.

Answer 1

a) The linear function for the number of gal of gas in the tank in terms of the number of miles driven is given as:

`\begin{gathered} f(x)=-0.025x+14 \\ \text{where }x\text{ represents the number of miles driven} \end{gathered}`

b) The number of gallons in the tank after 180 miles are driven is given as:

`\begin{gathered} f(x)=-0.025(180)+14 \\ f(x)=-4.5+14 \\ f(x)=9.5 \end{gathered}`