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3 votes
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.

1 Answer

4 votes

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.

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.

User Gianmarco
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