The slope of a function is the rate of change of the function.
The true statements are:
- A. The slope is 10
- C. The slope tells me that the hourly rate for babysitting is $10.
From the graph, we have the following points
[tex]\mathbf{(x_1,y_1) = (0,10)}[/tex]
[tex]\mathbf{(x_2,y_2) = (1,20)}[/tex]
The slope (m) is calculated as follows:
[tex]\mathbf{m = \frac{y_2 - y_1}{x_2 - x_1}}[/tex]
So, we have:
[tex]\mathbf{m = \frac{20-10}{1-0}}[/tex]
[tex]\mathbf{m = \frac{10}{1}}[/tex]
[tex]\mathbf{m = 10}[/tex]
The slope is the rate of change of the y values over the x values.
Hence, the true statements are:
- A. The slope is 10
- C. The slope tells me that the hourly rate for babysitting is $10.
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