The equation that could be used to find the amount of dollars is y = 30x
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:
[tex]\begin{gathered} y\text{ = mx + b} \\ m\text{ = slope} \\ b\text{ = y-intercept} \end{gathered}[/tex]
slope formula is given as:
[tex]m\text{ = }\frac{y_2-y_1}{x_2-x_1}[/tex]
To get the slope, we will pick any two points on the line:
[tex]\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}[/tex]
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:
[tex]\begin{gathered} y\text{ = 30x + 0} \\ \\ y\text{ = 30x} \end{gathered}[/tex]
The equation that could be used to find the amount of dollars is y = 30x
