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A crew of artists is painting a 343 square foot mural on a building. The crew is working at a constant rate. After 4 hours, they have 315 square feet left to paint. Which linear function models this situation?

A. [tex] y = 7x - 343 [/tex]
B. [tex] y = -4x + 315 [/tex]
C. [tex] y = -343x + 7 [/tex]
D. [tex] y = -7x + 343 [/tex]

Answer :

Answer:

y = 7x -343

Step-by-step explanation:

because they are working at a constant rate and the other answers are negative

Option - d is correct that is the linear function y = -7x + 343 when 343 square feet mural on a building is being painted by a group of artists.

Given that,

A 343 square feet mural on a building is being painted by a group of artists. The team is putting in constant effort. They still have 315 square feet to paint after four hours.

We have to find what linear function model describes this circumstance.

We know that,

Total mural on a building is 343 square feet

Total painted the building after 4 hours is 315 square feet

So,

343 - 315 = 28 square feet is remaining to paint.

Now,

[tex]\frac{28}{4}[/tex] = 7 square feet per hour

So,

y = 343 - 7x [ here, x is hours]

y = -7x + 343.

Therefore, Option - d is correct that is the linear function y = -7x + 343.

To know more about function visit:

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