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Noe installs and configures software on home computers. He charges \(125per job. His monthly expenses are \)1,600. How many jobs must he work in order to make a profit of at least $2,400?

Short Answer

Expert verified

Noe must work32jobs in order to make a profit of at least $2,400.

Step by step solution

01

Step 1. Given information

The charges for per job is, $125.

The monthly expenses for Noe is, $1,600.

It is also mentioned that, Noe needs to work in order to make a profit of at least $2,400.

Let xbe the required number of jobs.

From the given information, we can write a statement which is given below,

125times of number of jobs minus $1,600is, at least$2,400.

02

Step 2. Let us create an equation by using the statement.

125x-1,600≥2,400

Now simplify the above equation.

125x≥2,400+1,600125x≥4,000x≥4,000125x≥32

03

Step 3. Let us check the answer.

125x-1,600≥2,40012532-1,600≥2,4004,000-1,600≥2,4002,400≥2,400

which is true.

Therefore, Noe must work 32jobs in order to make a profit of at least$2,400.

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