a school hires an artist to create a mural. the artist draws a model of the mural on a coordinate grid. each…

a school hires an artist to create a mural. the artist draws a model of the mural on a coordinate grid. each unit on the grid represents one foot. the school pays the artist $20 for each square foot of the mural. how much does the school pay the artist?

a school hires an artist to create a mural. the artist draws a model of the mural on a coordinate grid. each unit on the grid represents one foot. the school pays the artist $20 for each square foot of the mural. how much does the school pay the artist?

Answer

Explanation:

Step1: Determine the length and width of the mural

Count the number of grid - units for length and width. The length of the mural is from (x = 2) to (x=7), so the length (l=7 - 2=5) feet. The width of the mural is from (y = 2) to (y = 10), so the width (w = 10 - 2=8) feet.

Step2: Calculate the area of the mural

Use the formula for the area of a rectangle (A=l\times w). Substitute (l = 5) and (w = 8) into the formula, we get (A=5\times8 = 40) square feet.

Step3: Calculate the total payment

The school pays the artist ( $20) for each square foot. Multiply the area (A) by the payment per square - foot. So the total payment (P=20\times A). Substitute (A = 40) into the formula, we get (P=20\times40=$800).

Answer:

(800)