Question

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?

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:

\(800\)