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Lelu [443]
3 years ago
12

a group of hikers park there trail head and hike into the forest to a campsite. The next morning they head out on a hike from th

eir campsite walking at a steady rate. The graph shows their distance in miles d from the car on the day of their hike after h hours. How many miles will the campers be from their car after 12 hours?

Mathematics
1 answer:
tiny-mole [99]3 years ago
4 0

Answer: The campers will be 40\ miles from their car after 12 hours.

Step-by-step explanation:

<h3> The missing graph is attached.</h3>

The equation of the line in Slope-Intercept form is:

y=mx+b

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:

m=\frac{y_2-y_1}{x_2-x_1}

Choosing the points (0,4) and (2,10), we get:

m=\frac{4-10}{0-2}=3

We can susbstitute the point (0,4) and the slope into y=mx+b and solve for "b":

4=3(0)+b\\\\b=4

Then, the equation of this line is:

y=3x+4

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:

d=3h+4

Finally, in order to calculate the distance in miles that the campers will be from their car after 12 hours, we need to subsitute h=12 into the equation and evaluate. Then we get:

d=3(12)+4\\\\d=40

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