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The cost (c) to paint a building varies directly with the area of the surface being painted (A) in square feet. It costs $3,000 to paint a room with a surface area of 1,500 square feet. Determine an equation that gives the relationship between c and A. Question 18 options: A) c = 2∕A B) c = 2A C) c = 20∕A D) c = 20A

Answer :

Answer:

Step-by-step explanation:

c=2A

An equation is formed when two equal expressions. The correct option is B.

What is an equation?

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Given that the cost to paint an area of 1,500 square feet is $3,000. Therefore, the equation that gives the relationship between c, cost and A, the area is,

cost = constant × area

c = k × A

$3000 = k × 1500 ft²

k = $2 per square feet

Now, the equation that gives the relationship between c and A can be written by substituting the value of k in the equation,

c = k × A

c = 2 × A

c=2A

Hence, the correct option is B.

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