A local school needs to paint the floor of its theater room, where the length of the floor, x, is at least 12 feet. The width of
the floor is 4 feet less than the length. It will have a stage and a closet, and the remaining area of the floor will be painted. The dimensions are shown in the diagram:
Let A represent the painted area, in square feet, of the floor. Choose the correct equation to solve for area (A).
A = x(x − 4) + 0.5(6)(x − 4) + 2(7)
A = x(x − 4) − 0.5(6)(x − 4) − 2(7)
A = x(x − 4) − (6)(x − 4) − 2(7)
A = x(x − 4) + (6)(x − 4) + 2(7)
Let A represent the painted area, in square feet, of the floor. Choose the correct equation to solve for area (A).
A = x(x − 4) + 0.5(6)(x − 4) + 2(7)
A = x(x − 4) − 0.5(6)(x − 4) − 2(7)
A = x(x − 4) − (6)(x − 4) − 2(7)
A = x(x − 4) + (6)(x − 4) + 2(7)
1 answer:
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Answer:
f(2) = $180.22
f'(2) = $130.00/week
f'(2)/f(2) = 72.13%
Two weeks after the DVD was released, the revenue from sales is $180.22 and is increasing at a rate of $130 per week, or 72.13% per week.
Step-by-step explanation:
The revenue from sales, in dollars, as a function of time, in weeks, is given by:
After two weeks (t=2), the revenue from sales is:
The rate of change, which is given by the derivate of the revenue function, at t = 2 weeks is:
The relative rate of change is:
Therefore, Two weeks after the DVD was released, the revenue from sales is $180.22 and is increasing at a rate of $130 per week, or 72.13% per week.