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Tyler works in retail where she earns $10.50 per hour. She also earn $15 for every new credit account she gets customer to open and she gets a weekly stipend of $50 for clothing. Tyler knows her weekly earnings can be shown with the following expression Part A: Identify a coefficient, a variable, and a constant in this expression Part B: If Tyler works for 37 hours and open 12 new credit account, how much does she earn? Show you work to receive full credit Part C: If Tyler gets a raise and begins earning $11.25 per hour, would the coefficient, variable or constant in the expression change? Why?

Verified Answer :

The expression can be shown as:

10.5a + 15b + 50 = weekly earnings.

(where a is the number of hours worked and b is the number of credit accounts she gets customers to open)

For Part A, either the 10.5 part of 10.5a or the 15 part of 15b is a coefficent, and 50 is a constant, and the variables are a and b.

For Part B, plug the numbers into the equation:

=10.5a + 15b + 50
=10.537 + 1512 + 50
=388.5 + 180 + 50
=$618.5  (remember units!)

For Part C: The coefficent changes, because the number part of the expression changes. (10.5a becomes 11.25a).

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