Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

this question has two parts. first, answer part a. then, answer part b.…

Question

this question has two parts. first, answer part a. then, answer part b.
part a
a rental company charges $15 plus $4 per hour to rent a bicycle. margie wants to spend no more than $27 for her rental.
write an inequality that can be used to determine how many hours, x, margie can rent the bicycle and spend no more than $27.
part b
the solution of the inequality in part a is
select choice. this means that margie can rent the bicycle for
select choice hours.

Explanation:

Step1: Solve the inequality \(15 + 4x \leq 27\)

Subtract 15 from both sides: \(15 + 4x - 15 \leq 27 - 15\)
Simplify: \(4x \leq 12\)

Step2: Divide both sides by 4

\(\frac{4x}{4} \leq \frac{12}{4}\)
Simplify: \(x \leq 3\)

Answer:

The solution of the inequality is \(x \leq 3\), which means Margie can rent the bicycle for at most 3 hours.