Katy babysat to make some money, but Katy has not worked any hours so (x=0), she has not earned any wages so (0,0) would be one coordinate. Katy earns 10 dollars an hour. She then worked 3 hours, so she now has $30.00, so (3,30)is another point. Katy worked 15 hours earning making $150.00, so then (15,150). X=hours she babysat and y is the money earned. Where would her slope be?

Question

Katy babysat to make some money, but Katy has not worked any hours so (x=0), she has not earned any wages so (0,0) would be one coordinate. Katy earns 10 dollars an hour. She then worked 3 hours, so she now has $30.00, so (3,30)is another point. Katy worked 15 hours earning making $150.00, so then (15,150). X=hours she babysat and y is the money earned. Where would her slope be?

Answer 1

every time she works one more hour, how much more money does she get? That is the slope of the line.

Answer 2

To find the slope, you need to calculate the change in y divided by the change in x between two points on the line. Let's take the two points (0, 0) and (3, 30) to calculate the slope.

Change in y = 30 - 0 = 30
Change in x = 3 - 0 = 3

Now, divide the change in y by the change in x:
Slope = (30 - 0) / (3 - 0) = 30 / 3 = 10

So, the slope of the line representing Katy's earnings is 10.