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
ool with an area of 1,500 square feet can be installed for $54,000, whereas the installation of a 700 square foot swimming pool costs $30,000. Make a graph that represents this function and write the equation of the line. Let A represent the pools area and C represent the cost.
1 answer:
Answer:
The equation for the line is
Step-by-step explanation:
Let A denote Area and C stand for Cost, we can deduce that:
For an area of square feet, the cost amounts to
If , then,
Since the cost equation represents a function of area, this establishes a linear connection, necessitating the formulation of the line's equation.
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:
Consequently, the equation concludes with:
To find b, we substitute the point (700, 30000) into the equation
Thus
The linear equation's graph is depicted in the provided image
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