Question

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Each week, Alfonso earns $85 for every shift he works at the theater and $15 for every dog-walking job. He uses the expression 85x + 15y to keep track of his earnings.


Part A: Identify the coefficients and variables in the expression. (3 points)


Part B: How many terms are in the expression, what are they, and how do you know? (4 points)


Part C: Which term in the expression shows the total earned from the dog-walking jobs? (3 points)

Answer 1

The coefficients are 85 and 15 because they are the numbers that appear before the x and the y terms. 
There are two terms in the expression: 85x and 15y
Since you are earning 15 dollars for each dog walking session, it is 15y.

Answer 2

1. A coefficient is a number before the variable. So both coefficients and variables would both be 2 each. (85, 15), (x, y)
2. A term is both a coefficient and a variable together. So there are two terms in this equation. 
3. 85 dollars is earned for every shift for theater and 15 for every dog walking shift. So the 15y is the total earned for dog walking, where y is how many shifts Alfonso worked for.