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Artemon [7]
3 years ago
13

A cleaning company charged $125 to clean a 2500 square foot house. The same company charged $146 to clean a 3200 square foot hou

se. Write an equation in slope-interceptiom to represent the total cost, y, to clean a house with x square feet. Then, find the total cost to clean a house that is 4500 square feet.​
Mathematics
1 answer:
HACTEHA [7]3 years ago
4 0

Answer:

The cost is y = $185

Step-by-step explanation:

Let us have points spelt out here

(2500,125) and (3200,146)

The general form of a straight line equation is;

y = mx + b

where m is slope

So to calculate the slope in this case, we have

m = (146-125)/(3200-2500)

m = 21/700 = 0.03

So we have the equation as

y = 0.03x + b

To get b, we use any of the two points

Let us use (2500,125)

So we have

125 = 0.03(2500) + b

125 = 75 + b

b = 125-75

b = 50

So the complete equation of the line is;

y = 0.03x + 50

So here, we want to find the cost of a house with 4500 square feet

simply substitute 4,500 for x

y = 0.03(4500) + 50

y = 135 + 50

y = $185

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