Question

Joshua is a salesperson who sells computers at an electronics store. He makes a base pay amount each day and then is paid a commission as a percentage of the total dollar amount the company makes from his sales that day. The equation P, equals, 0, point, 0, 4, x, plus, 95P=0.04x+95 represents Joshua's total pay on a day on which he sells xx dollars worth of computers. What is the slope of the equation and what is its interpretation in the context of the problem?
Answer
Attempt 1 out of 2

The slope of the function is
which reveals
.

Answers

Answered by GPT-4o mini
The equation representing Joshua's total pay is given as:

\[ P = 0.04x + 95 \]

In this equation, \( P \) is the total pay, \( x \) is the total dollar amount of computers sold, and \( 0.04 \) is the slope of the line.

### Slope:
The slope of the equation, \( 0.04 \), represents the rate of change of Joshua's pay with respect to the sales he makes.

### Interpretation:
The slope means that for every dollar \( x \) that Joshua sells in computers, his total pay \( P \) increases by \( 0.04 \) dollars (or 4 cents). This indicates that he earns a commission of 4% on his sales in addition to his base pay of $95.

So, the complete answer is:

The slope of the function is **0.04**, which reveals **that for each dollar of computers sold, Joshua earns an additional $0.04 in commission**.
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