Question

70Money Earned8 8What hourly5040wage is3020displayed inthis graph?100110Hours WorkedA. $8.00 per hourB. $10.00 per hourC. $12.00 per hourD. $14.00 per hour

Answer 1

From the graph given

To find the hourly wage, we find the slope of the graph

The formula to find the slope, m, of a straight line graph is

`m=(y_2-y_1)/(x_2-x_1)`

Where

`\begin{gathered} (x_1,y_1)\Rightarrow(0,0) \\ (x_2,y_2)\Rightarrow(5,40) \end{gathered}`

Where the y coordinates represents the money earned and x coordinates represents the hours worked

Substitute the values of the coordinates into the formula of the slope above

`\begin{gathered} m=(y_2-y_1)/(x_2-x_1)=(40-0)/(5-0)=(40)/(5)=\text{ \$8 per hour} \\ m=\text{ \$8 per hour} \end{gathered}`

Hence, the answer is option A