Question

The Smith family has $1500 set aside for upgrades in their kitchen. The contractor charges

a $225 materials fee plus $75 per hour. Write and solve an inequality to find the possible
numbers of hours that they can use the contractor.

Answer 1

$225 + $75x ≤ $1500

x ≤ 17

Explanation:

The Smith family has $1500 spending limit and no more.

The initial fee is $225 in labor so we must deduct that from the current total of money left to spend.

$1500 - $225 = $1275

Then we can simply divide the amount leftover with the hours the contractor works.

$1275 ÷ $75 = 17

The inequality is $225 + $75x (x being the amount of hours the contractor works) ≤ (equal to or less than simple identifying that $1500 can be spent but no more than that.) $1500