Question

URGENT PLEASE HELP

The table below shows the cube roots of different numbers: Number (x) 8 27 64 125 Cube root (y) 2 3 4 5 Part A: Does the table represent y as a function of x? Justify your answer. (5 points) Part B: The total cost f(x), in dollars, for renting a bike for x hours is shown below: f(x) = 10 + 20x What is the value of f(100), and what does f(100) represent? (5 points)

Answer 1

a. yes it would be a function of x because they change exponentially. the exponent is -3. -3 as an exponent is the same as cube root.
y = x^-3
2 = 8^-3
3 = 27^-3
And so on

well f (100) just means to substitute 100 any place there is an x so
f (100) = 10 + 20 (100)
f (100) = 2010

since x is the amount of hours f (100) represents the cost when a bike was rented for 100 hours.