Question

The table shows the values of y for each value of x. x y 2 1 3 1 4 -3 3 -3 Part A: Does the table represent a relation that is a function? Justify your answer by using the values shown in the table. (4 points) Part B: The function f(h) shown below represents Kylie's total earning from working in a cafe for h hours of work. f(h) = 15h + 5 Calculate and interpret the meaning of f(8)? Part C: Write an ordered pair to represent the input and output of the function in Part B when Kylie works for r hours.

Answer 1

Part A:

The given values in form of ordered pairs are:
(2,1), (3,1), (4,-3), (3,-3)

A relation can be a function if one value of x is paired with exactly one value of y. In this case, x value of 3 is paired with two y values 1 and -3. So this relation is not a function.

Part B:

f(h) = 15h + 5
f(8) can be found by substituting h=8 in above equation.
So,
f(8) = 15(8) + 5 = 125
h represents the number of hours and f(h) represents the earnings of Kylie. So f(8) shows that Kylie earned $125 from 8 hours of work in the cafe

Part C:

For r hours of work, we can write:
f(r) = 15r + 5
So, the ordered pair can represent this relation as:
(r, f(r))
or
(r, 15r+5)