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Corinne has a job selling magazines. She earns $7.50 per hour plus 20% of the total amount of her sales. She also gets an allowance of $40 per week for gas. She knows her weekly earnings can be shown using the following expression:

7.50h + 0.20s + 40

Part A: Identify a coefficient, a variable, and a constant in this expression. (3 points)

Part B: If Corinne works for 25 hours and sells $300 in magazines, how much does she earn for the week? Show your work to receive full credit. (4 points)

Part C: If Corinne gets a raise and begins earning $9 per hour, would the coefficient, variable, or constant in the equation change? Why? (3 points)

User Samidjo
by
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2 Answers

4 votes

Part A

So the coefficient would be the number that is with a variable. The coefficient of 7.50h is 7.50. The variable is h, variables can be a letter or symbol that stands for something in a equation. For this question, h stands for the number of hours Corinne works. The constant is the number that is alone in the equation. That doesn't have a variable with it. In this equation the constant would be the number 40.


Part B

To solve this I will plug in 25 into "h" in and 300 for "s" in the equation 7.50h + 0.20s + 40 and then solve.


1. 25 * 7.50 = $187.5.

2. 0.20 * 300 = $60

3. Add it all together: $187.50 + $60 = $247.50 + $40 = $287.50


Part C

If Corrine gets a raise and earns $9 an hour the coefficient would change. It would be 9h instead of 7.50h.


User Sangimed
by
5.7k points
5 votes

Part A

The coefficients are 7.50 and 0.20.

The variables are h and s.

Part B

Put 25 where h is; put 300 where s is; do the arithmetic.

... 7.50·25 + 0.20·300 + 40 = 187.50 + 60.00 + 40 = 287.50

Corinne earns $287.50 for the week.

Part C

7.50 in the expression represents Corinne's hourly earnings. If that changes to 9.00 per hour, then the expression becomes

9.00h + 0.20s + 40

The 7.50 changes to 9.00.

User Dorian Roy
by
4.7k points
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