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22 October, 08:49

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?

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Answers (1)
  1. 22 October, 09:15
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    Part A : Yes, it represents y as a function of x. There are not 2 different y values for the same x value.

    f (x) = ∛ x (or : y = ∛x)

    Part B : f (x) = 10 + 20 x

    f (100) = 10 + 20 · 100 = 10 + 2,000 = 2,010

    f (100) represents the total cost for renting a bike for 100 hours.
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