Question

A student wants to sign up for a swimming class that charges $5 an hour. His parents are willing to spend up to $100 for swimming

lessons. Write an inequality representing the possible number of hours he could take swimming lessons for.

Answer 1

`x\leq 20`

Explanation:

Given:

Charges of one hour swimming class = $5

Maximum amount that parents are willing to spend for swimming = $100

To find: inequality representing the possible number of hours, a student could take swimming lessons

Solution:

An inequality compares two values such that either one value is less than, greater than, or not equal to another value.

Let x represents number of hours spend by a student in swimming class.

As maximum amount that parents are willing to spend for swimming is $100 and charges of one hour swimming class is $5,

`5x\leq 100\\x\leq (100)/(5) =20\\x\leq 20`