Answer: The campers will be [tex]40\ miles[/tex] from their car after 12 hours.
Step-by-step explanation:
The missing graph is attached.
The equation of the line in Slope-Intercept form is:
[tex]y=mx+b[/tex]
Where "m" is the slope and "b" the y-intercept.
We can pick two points on the line graphed and substitute the coordinates into this formula to find the slope:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Choosing the points (0,4) and (2,10), we get:
[tex]m=\frac{4-10}{0-2}=3[/tex]
We can susbstitute the point (0,4) and the slope into [tex]y=mx+b[/tex] and solve for "b":
[tex]4=3(0)+b\\\\b=4[/tex]
Then, the equation of this line is:
[tex]y=3x+4[/tex]
Since the distance in miles is represented on the y-axis and the time in hours is represented on the x-axis. we can rewrite the equation as:
[tex]d=3h+4[/tex]
Finally, in order to calculate the distance in miles that the campers will be from their car after 12 hours, we need to subsitute [tex]h=12[/tex] into the equation and evaluate. Then we get:
[tex]d=3(12)+4\\\\d=40[/tex]
