Question

50 POINTS TO CORRECT ANSWER otherwise will be reported:

A cart rolls down a hill, traveling 5 inches the first second and accelerating so that during each successive 1-second time interval, it travels 7 inches more than during the previous 1-second interval. The cart takes 30 seconds to reach the bottom of the hill. How far, in inches, does it travel?

a)215
b)360
c)2992
d) 3195
e) 3242

Answer 1

9514 1404 393

Answer:

d) 3195

Explanation:

The distances traveled make an arithmetic series, the sum of which is given by ...

Sn = (2·a1 +d(n -1))(n/2)

This series has first term a1=5 and common difference d=7. Then the total distance traveled in 30 seconds is ...

S30 = (2·5 +7(30-1))(30/2) = (10 +203)(15) = 3195

The cart travels 3195 inches.