Chapter 3: Q. 319 (page 399)

Andre has been offered an entry-level job. The company offered him $$48, 000$ per year plus $3.5 %$ of his total sales. Andre knows that the average pay for this job is $$ 62, 000$ .What would Andre’s total sales need to be for his pay to be at least as high as the average pay for this job?

Short Answer

Expert verified

Andre’s total sales that he need to be for his pay to be at least as high as the average pay for this job is, $$ 400, 000$ .

Step by step solution

Step 1. Given information

The pay offered by the company is, $$ 48, 000$ .

The given percent of his total sales is, $3.5 %$ .

But the average pay for this job is, $$ 62, 000$ .

Let $$ x$ be the required total sales.

It is also mentioned that the pay to be at least as high as the average pay for this job.

From the given information, let us create an equation.

$48, 000 + (3.5 %) x \geq 62, 000$

Step 2. Now simplify the obtained equation.

$48, 000 + (\frac{3.5}{100}) x \geq 62, 000 48, 000 + 0.035 x \geq 62, 000 0.035 x \geq 62, 000 - 48, 000 0.035 x \geq 14, 000 x \geq \frac{14000}{0.035} x \geq 400, 000$

Step 3. Let us check the answer.

$48, 000 + (3.5 %) x \geq 62, 000 48, 000 + (3.5 %) 4, 00, 000 \geq 62, 000 48, 000 + (0.035) 4, 00, 000 \geq 62, 000 48, 000 + 14, 000 \geq 62, 000 62, 000 \geq 62, 000$

which is true.

Therefore, Andre’s total sales that he need to be for his pay to be at least as high as the average pay for this job is,localid="1647243828297" $$ 400, 000$ .

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Andre has been offered an entry-level job. The company offered him $\(48, 000$ per year plus $3.5 %$ of his total sales. Andre knows that the average pay for this job is $\) 62, 000$ .What would Andre’s total sales need to be for his pay to be at least as high as the average pay for this job?

Short Answer

Step by step solution

Step 1. Given information

Step 2. Now simplify the obtained equation.

Step 3. Let us check the answer.

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Andre has been offered an entry-level job. The company offered him \(48,000per year plus 3.5%of his total sales. Andre knows that the average pay for this job is \)62,000.What would Andre’s total sales need to be for his pay to be at least as high as the average pay for this job?

Short Answer

Step by step solution

Step 1. Given information

Step 2. Now simplify the obtained equation.

Step 3. Let us check the answer.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Statistics

Logic and Functions

Mechanics Maths

Geometry

Pure Maths

Discrete Mathematics

Study anywhere. Anytime. Across all devices.

Andre has been offered an entry-level job. The company offered him $\(48, 000$ per year plus $3.5 %$ of his total sales. Andre knows that the average pay for this job is $\) 62, 000$ .What would Andre’s total sales need to be for his pay to be at least as high as the average pay for this job?