Question

The table below shows the cube roots of different numbers: Number (x) 27 −27 125 −125 Cube root of the number (y) 3 −3 5 −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 house for x months is shown below: f(x) = 925x + 1000 What is the value of f(24) and what does f(24) represent? (5 points)

Answer 1

Part A

The table does represent y as a function of x because each input (values of x) related to exactly one output. Refer to the diagram below.

Part B

We have
f(x) = 925x + 1000
f(24) = 925 (24) + 1000
f(24) = 23200

f(24) represent the value of renting for 24 months