plss 99pts will give brainlist if correct
(03.02 mc) the table below shows the fourth powers of different numbers: number (x) 1 −1 3 −3
fourth power of the number (y) 1 1 81 81
part a: does the table represent y as a function of x? justify your answer.
part b: the total cost f(x), in dollars, for renting a townhouse for x months is shown below: f(x) = 875x + 750 what is the value of f(12) and what does f(12) represent?

the given table is

number, x:   1   1   81   81

4th root, y:   1   -1     3   -3

part a:

if y = the 4th root of x, then y⁴ should equal x.

now, test the given numbers!

x=1, y=1:   y⁴ = 1⁴ = 1 = x.   correct

x=1, y=-1: y⁴ = (-1)⁴ = 1 = x. correct

x=81, y=3: y⁴=3⁴=81=x. correct

x=81, y=-3: y⁴=(-3)⁴=81=x. correct

the table correctly represents y as a function of x.

part b

given: f(x) = 25x + 16

where f(x) = total cost in dollars for renting a truck for x hours.

therefore

f(20) = 25*20 + 16 = $516

the cost is $516.

f(x) represents a symbolic  way to say that f(x) is a function of x.

therefore, f(20) means  that by plugging x=20 into the given formula, we obtain the value of f(x) when x=20.

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have a lovely day!

the answer is b.)

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