builder uses the function g defined by g (x) = 80x + 10,000 to estimate the
cost g(x), in dollars, to build a one-story home of planned floor area of x square
feet. If the builder estimates that the cost to build a certain one-story home is
$106,000, what is the planned floor area, in square feet, of the home?
just solve
80x + 10,000 = 106,000
1200
To find the planned floor area of the home, we need to solve the equation g(x) = 106,000, where g(x) is the cost of building a one-story home with a floor area of x square feet.
Since g(x) = 80x + 10,000, we can substitute this expression into the equation and solve for x:
80x + 10,000 = 106,000
Subtracting 10,000 from both sides:
80x = 96,000
Dividing both sides by 80:
x = 1,200
Therefore, the planned floor area of the home is 1,200 square feet.
To find the planned floor area of the home, we need to solve the equation g(x) = $106,000 for x.
The given function g(x) = 80x + 10,000 represents the cost in dollars to build a one-story home with a planned floor area of x square feet.
We can set up the equation as follows:
80x + 10,000 = $106,000
To solve for x, we need to isolate the x variable on one side of the equation.
Subtracting 10,000 from both sides:
80x = $106,000 - $10,000
80x = $96,000
Dividing both sides by 80:
x = $96,000 / 80
x = 1200 square feet
Therefore, the planned floor area of the home is 1200 square feet.