Question

1. transportation the cost of riding in a cab is $3.00 plus $0.75 per mile. the function that represents this relation is ( f(x) = 0.75x + 3 ), where ( x ) is the number of miles traveled and ( f(x) ) is the cost of the trip. find and interpret ( f(17) ).

Explanation:

Step1: Substitute \(x = 17\) into the function

Given \(f(x)=0.75x + 3\), when \(x = 17\), we have \(f(17)=0.75\times17+3\).

Step2: Calculate \(0.75\times17\)

\(0.75\times17=\frac{3}{4}\times17=\frac{51}{4}=12.75\).

Step3: Calculate \(f(17)\)

\(f(17)=12.75 + 3=15.75\).

Answer:

\(f(17) = 15.75\). This means that the cost of a cab ride for \(17\) miles is \(\$15.75\).