Answer:
[tex]y = 0.065x +12[/tex]
Step-by-step explanation:
Given
[tex]x \to minutes[/tex]
[tex]y \to bill[/tex]
[tex](x_1,y_1) = (280,30.20)[/tex]
[tex](x_2,y_2) = (310,32.15)[/tex]
Required
The linear function
Start by calculating the slope (m)
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
So, we have:
[tex]m = \frac{32.15 - 30.20}{310 - 280}[/tex]
[tex]m = \frac{1.95}{30}[/tex]
[tex]m = 0.065[/tex]
The equation is then calculated as:
[tex]y = m(x - x_1) + y_1[/tex]
Where:
[tex](x_1,y_1) = (280,30.20)[/tex]
[tex]m = 0.065[/tex]
So, we have:
[tex]y = 0.065(x - 280) + 30.20[/tex]
[tex]y = 0.065x - 18.2 + 30.20[/tex]
[tex]y = 0.065x +12[/tex]