Question

Hours Worked D. Write an equation that could be used to find y, the number of dollars Mr. David earns for working x hours.

Answer 1

The equation that could be used to find the amount of dollars is y = 30x

Step-by-step explanation:

To get he equation that could be used to find the number of dollars for working x hours, we will use the equation of line formula:

`\begin{gathered} y\text{ = mx + b} \\ m\text{ = slope} \\ b\text{ = y-intercept} \end{gathered}`

slope formula is given as:

`m\text{ = }(y_2-y_1)/(x_2-x_1)`

To get the slope, we will pick any two points on the line:

`\begin{gathered} u\sin g\text{ points (0, 0) and (3, 90)} \\ x_1=0,y_1=0,x_2=3,y_2\text{ = }90 \\ m\text{ = }\frac{90\text{ - 0}}{3-0} \\ m\text{ = 90/3 = 30} \end{gathered}`

The y intercept is the value of y when x crosses the y axis.

The line starts from the origin as a result y = 0

Substitute the values:

`\begin{gathered} y\text{ = 30x + 0} \\ \\ y\text{ = 30x} \end{gathered}`

The equation that could be used to find the amount of dollars is y = 30x