Slow cab taxi charges $1.75 flat rate in addition to $0.65 per mile. Sheena has no more than $10 to spend on a ride. Write a linear equation to...

Hello!

Denote the number of miles ridden as Then $0.65 per mile means that the price will be for a mileage and the total price including flat rate will be

If Sheena want to spend all her $10, we obtain a linear equation

This is the answer.

It is simple to solve it: subtract 1.75 from the both sides and obtain

then divide both sides by 0.65 and obtain the solution

(miles).

Actually, the text of the problem gives us a linear inequality,

because "Sheena has no more than $10 to spend on a ride."

The solution for this inequality is