Question

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

Answer:

Part A: Coefficients: 85 and 15

    Variables: x = shifts at the theater, y = dog-walking jobs

Part B: 2 terms, the first one represents how much he earns working in the theater and the second how much he earns dog-walking. Each term is separated with a sum or a subtract sign.  

Part C: 15y

Step-by-step explanation:

Part A: The variable of an expression is the information we don't know. In this case, we don't know how many shifts he has at the theater and how many dog-walking jobs he has. That's why we have 2 variables, x and y. The coefficient is the number that multiplies the variable. In this case, as we have 2 variables, we have 2 coefficients, 85 and 15.

Part B: In an expression, every term is separated with a sum or a subtract sign. In this case, we have just one sum, so the terms are the numbers and variables that appear before and after the sum sign. That's 85x and 15y. The first one is the amount of money he earns for every shift at the theater multiply by how many shifts he has, so that's how much he earns in total at the theater. The second one is the amount of money he earns for every dog-walking job multiply by how many he does, so that's how much he earns in total from the dog-walking jobs.  

Part C: As I said in Part B, the second term is the total earned from the dog-walking jobs, so 15y represents it.

Answer 2

Part A: 85x, 15y.
Part B: There are 2 terms because he has two jobs only.
Part C the term is 15y