Answer: Use a point-slope equation to find the amount he will raise if he completes the walk.
Explanation:
We can start by using the point-slope equation:
y - y1 = m(x - x1)
where y is the amount James raises, x is the number of miles he walks, m is the rate at which he raises money per mile, and (x1, y1) is a point on the line.
We know that James raises $15 extra for every mile he walks, so m = 15. We also know that he has received $600 in fixed pledges, which is the amount he would raise if he walked 0 miles. So (0, 600) is a point on the line.
Using this information, we can write the point-slope equation:
y - 600 = 15(x - 0)
Simplifying, we get:
y = 15x + 600
This equation tells us the amount James will raise, y, for any number of miles he walks, x. For example, if he completes the 6-mile walk, we can plug in x = 6 to find:
y = 15(6) + 600 = 690
Therefore, if James completes the walk, he will raise $690.
{Hope This Helps! :)}