Corrine 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.
Part B: If Corrine works for 25 hours and sells $300 in magazines, how much does she earn for the week? Show your work to receive full credit.
Part C: If Corrine gets a raise and begins earning $9 per hour , would the coefficient, variable, or constant in the equation change? Why?
7.50h + 0.20s + 40 The variables are the letters. The coefficients are the numbers in front of the letters. There is only the one constant of 40. Use 25 for h and 300 for s. Whether 7.50 or 9 or whatever other hourly pay rate, that is still called a coefficient.
Thank you , Thank you so much Brandy :)
That's just for A correct?
B. Just plug in the numbers for h and s, and evaluate
C. the coefficient for h will change
If Corinne works for 25 hours and sells $300 in magazines, how much does she earn for the week?
Part A:
- Coefficient: The coefficient is the number that multiplies the variable. In this expression, the coefficient is 7.50, which multiplies the variable 'h' representing the hours worked.
- Variable: The variable is a symbol that represents a value that can change. In this expression, the variable is 'h', which represents the number of hours Corrine works.
- Constant: The constant is a fixed value that does not change. In this expression, the constant is 40, which represents the allowance for gas that Corrine receives per week.
Part B:
To find out how much Corrine earns for the week, we substitute the given values into the expression.
Earnings = 7.50h + 0.20s + 40
Given:
h = 25 hours
s = $300
Earnings = 7.50(25) + 0.20(300) + 40
Earnings = 187.50 + 60 + 40
Earnings = $287.50
Therefore, Corrine earns $287.50 for the week if she works 25 hours and sells $300 worth of magazines.
Part C:
If Corrine gets a raise and begins earning $9 per hour, the coefficient in the equation would change. The coefficient represents the rate at which Corrine earns money per hour. Previously, the coefficient was 7.50, but now it would be 9. The reason is that the rate of payment per hour has increased due to the raise in earnings.