Question

Ellen has $75 in her savings account. She deposits $25 every week. Her father also deposits $35 into the account every time Ellen mows the lawn. Her savings account balance can be shown with the following expression: 75 + 25w + 35m Part A: Identify a coefficient, a variable, and a constant in this expression. (3 points) Part B: If Ellen saves for 8 weeks and mows the lawn 2 times, how much will she have in her account? Show your work to receive full credit. (4 points) Part C: If Ellen had $95 in her savings account, would the coefficient, variable, or constant in the expression change? Why?

Answer 1

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A coefficient is the '25' in 25m
A variable is the 'm' in 35m                 <-------- Part A
A constant is the 75.
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8x25=200
35x2=70                                        <----------- Part B
200+70=270+75=345
Ellen will have $345.
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Yes, but only the constant would change. 
The new expression would be: 95+25w+35m.                              <----- Part C
The coefficient and variable wouldn't change because she still
deposits $25 a week and gets $35 every time she mows the lawn.

Answer 2

Saving = $75 + 25.w + 35.m

A. 75 = constant, since it's a deposit not related to any transaction
w and m are 2 variables
25 and 35 are 2 coefficient to w and m respectively

B. Saving = 75 + 25(8) + 35(2)
Saving = $345

C. If Ellen had $95 instead of $75, we will just replace $75 with $98, this will NOT AT ALL AFFECT neither the duration (number of weeks) nor the number of times she mows the loan. Only previously said ONLY The Coefficient will change