Question

Trey is driving to Philadelphia. Suppose that the distance to his destination (in miles) is a linear function of his total driving time (in minutes). Trey has 69 miles

to his destination after 15 minutes of driving, and he has 47.4 miles to his destination after 39 minutes of driving. How many miles will he have to his
destination after 51 minutes of driving?

Answer 1

After 51 minutes of driving, Trey will have 24.6 miles to his destination. This can be calculated by using a linear function to find the slope between the two given points, and then using that slope to find the y-intercept. The equation of the linear function is y = -1.75x + 116.5, where x is the total driving time in minutes and y is the remaining distance in miles. Plugging in x = 51 yields a result of y = 24.6.