Item 14 A woodworker builds a cabinet in 20 hours. The cabinet is sold at a store for $500. Write and solve an inequality that represents the hourly wage x the store can pay the woodworker and still make a profit of at least $100.

Per hour wages must be less than $20 per hour

Explanation:

Given:

Total hour to make a cabinet = 20 hours

Sale price of cabinet = $500

Computation:

Assume

Per hour wages = X

Total amount paid to woodworker = Total hour to make a cabinet * Per hour wages

Total amount paid to woodworker = 20 * X

Total amount paid to woodworker = 20X

Inequality, for at least save $100

500 - 20X ≥ 100

Solution:

-20X ≤ - 400

20X ≤ 400

X ≤ 20

Per hour wages must be less than $20 per hour