Question

A dump truck driver must haul 112 cubic yards of dirt to a construction site. The maximum load for the dump truck is 14 cubic yards. Which inequality represents the solution set that shows the number of loads, n, that the dump truck driver will haul?

Answer 1

n ≥ 8

If n = the number of loads hauled, then n14 ≥ 112.

Therefore,

n14 ≥ 112

n ≥

112

14

n ≥ 8

Explanation:

Answer 2

Find out the inequality represents the solution set that shows the number of loads, n, that the dump truck driver will haul.

To proof

As given

A dump truck driver must haul 112 cubic yards of dirt to a construction site.

The maximum load for the dump truck is 14 cubic yards.

Let us assume that the number of loads = n

Than the inequality in the form

`14n\geq 112`

`n\geq (112)/(14)`

n≥ 8

Therefore the number of the of loads be 8.

Hence proved