NEED HELP A mine extracts 2 tons of ore in an hour. Of the total ore extracted in a day, 4 tons is purchased by the government a

Question

3 years ago

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NEED HELP A mine extracts 2 tons of ore in an hour. Of the total ore extracted in a day, 4 tons is purchased by the government a

nd more than 10 tons is sold to a mineral extractor. If the mine operates for x hours in a day, what is the simplest inequality that represents the number of hours the mine must operate to meet its obligations?
A.
x > 3
B.
x > 4
C.
x > 5
D.
x > 7

Mathematics

1 answer:

topjm [15] · Answer 1 · 2022-04-09T03:32:26+03:00

Answer:

D. x > 7

Step-by-step explanation:

The mine operates x hours per day and extracts 2 tons of ore per hour.

The amount of ore extracted as a function of hours of operation is

2x

The mine must produce 4 tons plus more than 10 tons each day. The mine must produce more than 14 tons in one day. That means that 2x must be greater than 14.

2x > 14

Divide both sides by 2.

x > 7

Answer: D. x > 7