Question

A painter charges according to two different plans, A and B. Under Plan A, she

charges $500 plus $45 per hour. Under Plan B she charges $55 per hour.
After how many hours will Plan B
Plan B be more profitable than Plan A for the painter?
After
A
hours.

Answer 1

Step-by-step explanation: By using linear inequation, it can be calculated that-

After 50 hours, Plan B be more profitable than Plan A for the painter

What is linear inequation?

Inequation shows the comparision between two algebraic expressions by connecting the two algebraic expressions by >, <, ≥, ≤

A one degree inequation is known as linear inequation.

Here, a linear inequation needs to be solved

Let after t hours, Plan B be more profitable than Plan A for the painter

For plan A

A painter Charges $500 plus $45 per hour

Cost after t hours = $(500 + 45t)

For plan B

A painter Charges $55 per hour

Cost after t hours = $55t

By the problem,

55t > 500 + 45t

55t - 45t > 500

10t > 500

t >

t > 50

After 50 hours, Plan B be more profitable than Plan A for the painter