Question

Anderson has $50 in his savings account. He deposits $5 every week. His father also deposits $20 into the account every time Anderson mows the lawn. His savings account balance can be shown with the following expression

Answer 1

full problem (please post this next time)

Anderson has $50 in his savings account. He deposits $5 every week. His father also deposits $20 into the account every time Anderson mows the lawn. His savings account balance can be shown with the following expression: 50 + 5w + 20m

Part A: Identify a coefficient, a variable, and a constant in this expression.

Part B: If Anderson saves for 10 weeks and mows the lawn 2 times, how much will he have in his account?

Part C: If Anderson had $85 in his savings account, would the coefficient, variable, or constant in the expression change? Why?

Answer 2

part A:

recall that: a coefficient is the number multiplied to a variable (ex: in 2a + 1, the coefficient is 2)
a variable is a letter or symbol used to represent a quantity (in 2a + 1, the variable is a)
and a constant is a non-variable expression (in 2a + 1, the constant is 1)

apply this logic to the expression 50 + 5w + 20m

Answer 3

Part B: If Anderson saves for 10 weeks and mows the lawn 2 times, how much will he have in his account?

let's analyze the expression

50 + 5w + 20m

and think about what each number and variable represents

the 50 represents the $50 that is already in the savings account
he deposits 5 dollars per week, so naturally 5w represents the amount deposited in (w) weeks
using the same logic, 20m represents the amount earned by mowing (m) lawns

so for 10 weeks and 2 lawn mowing, plug w = 10 and m = 2 into the expression, and evaluate

Answer 4

Part C: If Anderson had $85 in his savings account, would the coefficient, variable, or constant in the expression change? Why?

recall that, in the original expression, 50 represents the amount in savings. the amount of savings changes, so the 50 must change. is 50 a constant, variable, or coefficient?