Question

A taxi charges a flat rate of $1.75, plus an additional $0.65 per mile. If Erica has at most $10 to spend on the cab ride, how far could she travel?

(Write the inequality that can be used to solve the word problem. Solve the problem and write the answer in a complete sentence)

Answer 1

Solution:

As per the problem we have

A taxi charges a flat rate of $1.75, plus an additional $0.65 per mile.

Erica has at most $10 to spend on the cab ride.

we have been asked to find how far could she travel?

Suppose Erica can ride a maximum of x miles. Then we can write

$1.75+0.65x\leq 10\\ \\ \text{Now simplify it for the value of x we get}\\ \\ 0.65x\leq 10-1.75\\ \\ 0.65x\leq 8.25\\ \\ \text{Divide both the sides by 0.65 we get}\\ \\ x\leq 12.692$

Hence Erica can ride for 12.692$\approx12.7$ miles.