Question

A taxi service charges $3 for the first mile and then $2.25 for every mile after that. The farthest the taxi will travel is 35 miles. If X represents the number of miles traveled, and Y represents the total cost of the taxi ride, what is the most appropriate domain for the solutions?

Answer 1

Given:

`\begin{gathered} A\text{ taxi service charges \$3 for the first mile} \\ \text{ \$2.25 for every mile after that.} \\ \text{The farthest the taxi will travel is 35 miles.} \end{gathered}`

Since x represents the number of miles traveled

y represents the total cost of the taxi ride

From the description, the number of miles the taxi will travel is between 0 and 35miles since 35 miles is the farthest it could go.

This means the domain which refers to the set of possible input values will be;

[tex]\begin{gathered} x>0\text{ because the service is charged once a certain distance is covered.} \\ \text{when no distance is covered, no charge is made.} \\ \text{Also,} \\ x\le35\text{ because the farthest is 35miles. This means the ta}\xi\text{ can not travel beyond 35miles.} \\ \\ \text{From the descriptions made, the domain will be:} \\ 0

Therefore, the most appropriate domain for the solutions is;

[tex]0 The correct answer is OPTION B.