Answer:
Slope [tex]\dfrac{20}{3}[/tex]
y-intercept [tex]\dfrac{10}{3}[/tex]
Equation [tex]y=\dfrac{20}{3}x+\dfrac{10}{3}[/tex]
150 miles traveled
Step-by-step explanation:
The line shown on the diagram passes through the points (4,30) and (7,50). Find the slope of the line:
[tex]\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{50-30}{7-4}=\dfrac{20}{3}[/tex]
The equation of the line is
[tex]y-30=\dfrac{20}{3}(x-4)\\ \\y=\dfrac{20}{3}x+\dfrac{10}{3}[/tex]
Hence, y-intercept is [tex]\dfrac{10}{3}[/tex]
When [tex]x=22,[/tex] then
[tex]y=\dfrac{20}{3}\cdot 22+\dfrac{10}{3}=\dfrac{440+10}{3}=150\ miles[/tex]
