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Question 1 (Essay Worth 10 points)
(03.02 MC)

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)

Part A:

Respuesta :

Part A:
y=∛x satisfies the table values for x and y. This can also be written y³=x, but y=f(x)=∛x is the way it’s expressed as a function.
Part B:
f(x)=925x+1000, so f(24)=925×24+1000=22200+1000=23200. This represents the value in dollars of renting a house for 24 months (2 years). The coefficient 925 is the rent per month, and 1000 is a downpayment.

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