## 1. José is going to have the exterior of his home painted. He will choose between Krystal Klean Painting and Elegance Home

1.

José is going to have the exterior of his home painted. He

will choose between Krystal Klean Painting and Elegance

Home Painting. Krystal Klean Painting charges $175.00 to

come out and evaluate the house plus $7.00 for every

additional 30 minutes of work. Elegance Home Painting

charges $23.00 per hour of work. Leth represent the

number of hours for which José hires a painter. Which of

the following statements are true? Select all that apply.

The expression 14h represents the total charge for

Krystal Klean Painting.

The expression 23h represents the total charge for

Elegance Home Painting.

The expression 175 + 14h + 23h represents the total

amount José will spend for the painters to paint the

exterior of his home.

If José hires the painters for 10 hours, then Elegance

Home Painting will be cheaper.

If José hires the painters for 20 hours, then Krystal Klean

Painting will be cheaper.

## Answers ( )

The following statements are true;The expression 23h represents the total charge for Elegance Home Painting.If José hires the painters for 10 hours, then Elegance Home Painting will be cheaper.If José hires the painters for 20 hours, then Krystal Klean Painting will be cheaper.Step-by-step explanation:Given,

Amount charged by Krystal Klean painting to come out = $175.00

Per 30 minutes charges = $7

1 hour charges would be $14.

Let,

h be the number of hours.

Total cost for Krystal Klean = 14h + 175

Amount charged by Elegance per hour = $23

Total cost = 23h

The expression 23h represents the total charge for Elegance Home Painting.As Jose will choose from both painters, therefore, he will only hire one.

For 10 hours;

h = 10

Krystal Klean;

Total charges = 175 + 14(10)

Total charges = 175 + 140 = $315

Elegance Home;

Total charges = 23(10) = $230

If José hires the painters for 10 hours, then Elegance Home Painting will be cheaper.For 20 hours;

h = 20

Krytal Klean,

Total charges = 175 + 14(20) = $455

Elegance Home = 23(20) = $460

If José hires the painters for 20 hours, then Krystal Klean Painting will be cheaper.