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Helga
15 days ago
6

Four friends agree to save money for a graduation road trip. They decide that

Mathematics
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The lengths of the sides of triangle PQR are consecutive even integers. The perimeter of triangle PQR is 42 cm. What is the leng
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Let the three consecutive even integers representing the sides of triangle PQR be defined as x, (x + 2), and (x + 4). Given that the perimeter of triangle PQR equals 42 cm.
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Linda found that the cost to get a swimming pool installed in her backyard is a linear function of the pool's area. A swimming p
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Answer:

The equation for the line is C = 30A + 9000

Step-by-step explanation:

Let A denote Area and C stand for Cost, we can deduce that:

For an area of A = 1500 square feet, the cost amounts to C = 54000

If A = 700, then, C = 30000

Since the cost equation represents a function of area, this establishes a linear connection, necessitating the formulation of the line's equation.

C = mA + b

Where:

m denotes the slope of the line

b indicates the intercept with the C axis..

We possess two coordinates:

(700, 30000)

(1500, 54000)

Using these points, we calculate the slope via the formula:

m = \frac{y_2 -y_1}{x_2-x_1}\\\\m = \frac{54000-30000}{1500-700}\\\\m = 30

Consequently, the equation concludes with:

C = 30A +b

To find b, we substitute the point (700, 30000) into the equation

30000 = 30(700) + b\\\\30000 -21000=b

b = 9000

Thus

C = 30A + 9000

The linear equation's graph is depicted in the provided image

3 0
1 month ago
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