Question

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.

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?

Answer 1

@dtan5457

Answer 2

Y is a function of x, It tells you in the qestion y is the cubed root of x

Answer 3

1've already solved part B. 1 just need help with part A

Answer 4

y = x^(1/3)

Answer 5

ok how would you prove that though?

Answer 6

let y=f(x) = x^(1/3)

f(8) = 8^(1/3) = 2
f(27) = 27^(1/3) = 3
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Answer 7

ok so the function is the proof?

Answer 8

You can graph the table of values, and show that for each value in the domain of y=f(x) there is one corresponding value in the range.

Answer 9

Perfect thanks so much!