Factor completely.

18b - 32

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This is a function

Explanation:

x = number of hours

y = amount paid

He earns $9.50 an hour, which means the equation is y = 9.50x; we multiply 9.50 by x to get the value of y.

For example, if he worked 1 hour then,

y = 9.50x = 9.50*1 = 9.50

meaning he earned $9.50 in total

If he worked 2 hours, then,

y = 9.50x = 9.50*2 = 19

is the total he earns.

The two ordered pairs found so far were (1,9.50) and (2,19). Note how each x input leads to exactly one y output. It's not possible for Dean to work some number of hours and earn two different paycheck amounts. This means we do have a function here.

In terms of a graph, plotting (1,9.50) and (2,19) shows we pass the vertical line test. We cannot draw a single vertical line through more than one point. I recommend generating more points to help further illustrate that the vertical line test is passed, and therefore we have a function.