Question

the graph below shows how much money Natasha has earned since she received a raise.how much does Natasha make in dollars per hour?Natasha makes_______dollars per hour

Answer 1

Solution

We can find how much Natasha makes in an hour by finding the slope of the straight line in the graph

The slope is expressed as

$\begin{gathered} \text{Slope(m) =}\frac{y_2-y_1}{x_2-x_1}=\frac{rise\text{ in earnings}}{\text{run of time}} \\ \end{gathered}$$\begin{gathered} \text{where from the graph} \\ y_2=1125 \\ y_1=250 \\ x_2=70 \\ x_1=0 \end{gathered}$

Substituting these values into the equation gives us her earnings per hour

$\begin{gathered} m\text{ =}\frac{1125-250}{70-0} \\ m\text{ = }\frac{875}{70} \\ m\text{ = \ 12.50} \end{gathered}$

From the graph the slope is

y = mx + c

m = 12.5

y = 12.5x+c

c = 250

y = 12.5x + 250

when x = 1hr

y = 12.5(1) + 250

y = $262.5