Question

The table below shows the fourth powers of different numbers: Number (x) 1 −1 2 −2 Fourth power of the number (y) 1 1 16 16 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 truck for x hours is shown below: f(x) = 17x + 50 What is the value of f(30) and what does f(30) represent? (5 points)

Answer 1

Number (x) 1 -1 2 -2

Fourth power of the number (y) 1 1 16 16

(a) Does the table represent y as a function of x?

From the table we can see that every x value has a corresponding y value

The x values are not repeating. So It is a function.

If we graph the table then it will pass vertical line test.

B: The total cost f(x), in dollars, for renting a truck for x hours is shown below: f(x) = 17x + 50 What is the value of f(30) and what does f(30) represent?

Total cost f(x) = 17x + 50

To find f(30), we plug in 30 for x

$f(30)= 17(30) + 50 = 560$

The rent of the truck for 30 hours is $560