Question

1. drawing a line with slope 15, starting at x of 8 and y of 80, can be done by drawing a second point, obtained by going 1 unit to the right and up by how many units? 4) no one equation can represent the piece - wise linear function. instead, the function is described like this: 0 - 8 hours: y = 10x 8+ hours: y = 80 + 15(x - 8) (the 8+ means \8 or more\).

Explanation:

Step1: Recall slope - definition

The slope of a line is defined as the change in y divided by the change in x ($m=\frac{\Delta y}{\Delta x}$). Here, the slope $m = 15$, and $\Delta x=1$.

Step2: Solve for $\Delta y$

Since $m=\frac{\Delta y}{\Delta x}$, and $m = 15$, $\Delta x = 1$. Substituting the values into the formula $15=\frac{\Delta y}{1}$.

Answer:

15