Question

the equation for the line of best fit is y = -1.2x + 17. based on the equation, which of these statements is true?
the ranger station would likely issue about 4 permits for a campsite that is 11 miles from the trailhead.
the ranger station would likely issue about 1 permit for a campsite that is 12 miles from the trailhead.

Explanation:

Step1: Analyze the first statement

We assume \( y \) is the number of permits and \( x \) is the distance from the trailhead. For the first statement, the campsite is 11 miles from the trailhead, so \( x = 11 \). Substitute into the equation \( y=-1.2x + 17 \):
\( y=-1.2\times11 + 17=-13.2 + 17 = 3.8\approx4 \)

Step2: Analyze the second statement

For the second statement, the campsite is 12 miles from the trailhead, so \( x = 12 \). Substitute into the equation \( y=-1.2x + 17 \):
\( y=-1.2\times12 + 17=-14.4 + 17 = 2.6\approx3
eq1 \)

Answer:

The ranger station would likely issue about 4 permits for a campsite that is 11 miles from the trailhead.