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06.07.2019 •
Mathematics
Afloor refinishing company charges $1.83 per square foot to strip and refinish a tile floor for up to 1000 square feet. there is an additional charge of $350 for toxic waste disposal for any job which includes more than 150 square feet of tile.
a) express the cost, y, of refinishing a floor as a function of the number of square feet, x, to be refinished.
b) graph the function, give the domain and range.
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Ответ:
Here x represents the number of square feet to be refinished and y represents the cost of refinishing the floor,
Given,
The cost of a tile floor for up to 1000 square feet is $1.83 per square,
So, the cost of x square feet of tile = 1.83x for x ≤ 1000
⇒ y = 1.83x for x ≤ 1000
Since, there is an additional charge of $350 for toxic waste disposal for any job which includes more than 150 square feet of tile.
That is, y = 1.83x + 350, for x > 150
So, y must be 1.83x for x ≤ 150.
A) Hence, the function that express the cost, y, of refinishing a floor as a function of the number of square feet, x, to be refinished, is,
B) The domain of the function = all possible value of x
⇒ Domain = 0 ≤ x ≤ 1000
Range = All possible value of y,
Since, the range of function y=1.83x, 0≤ x ≤ 150 is [0, 274.5]
While the range of function y = 1.83x + 350, for x > 150 is (624.5, 2180]
Hence, the range of the function (1) = [0, 274.5]∪(624.5, 2180]
Ответ:
4.879e3 km
Step-by-step explanation: