Solve the problem.
-A landscaping company sells mulch by the cubic yard. They use a tractor with one yard bucket to put the mulch into trucks or trailers. The actual amount x in each scoop, however, may differ from one cubic yard by as
Much as 0.24 yard. The actual amount x in each scoop, can be described by the inequality |x - 0.24| ≤ 1. What is
The largest amount of mulch you might get when purchasing one cubic yard.
A) 0.76 cubic yd
B) 1.48 cubic yd
C) 1.24 cubic yd
D) 1 cubic yd

Question

Quizplus · Accepted Answer

The inequality |x-0.24| ≤ 1 represents the range of possible amounts you might get when purchasing one cubic yard of mulch. To find the largest amount, we want to add the largest possible value of x to 1 cubic yard (since the range includes values that are less than 1 yard). The largest possible value of x would be 0.24 yards added to 1 yard, giving us a total of 1.24 cubic yards. Therefore, the best choice is C, 1.24 cubic yards. The inequality given tells us that the amount of mulch in each scoop can differ from one cubic yard by as much as 0.24 yards. Therefore, the largest amount of mulch we could get in one scoop would be 1 + 0.24 = 1.24 cubic yards. Any amount larger than that would not satisfy the given inequality. Therefore, the best choice is C: 1.24 cubic yards.

Solve the Problem. -A Landscaping Company Sells Mulch by the Cubic Yard. They