Question

Marla has $95.50 in her savings account. She deposits $5 every week. Her mother also deposits $20 into the account every time Marla washes the car. Her savings account balance can be shown with the following expression:

20c + 5w + 95.50

Part B: If Marla saves for 20 weeks and washes the car 5 times, how much will she have in her account? Show your work to receive full credit.


Part C: If Marla’s mom deposited $10 after each car wash, would the coefficient, variable, or constant in the expression change? Why?

Answer 1

20(5) + 5(20) + 95.50 = money in account
100 + 100 + 95.50 = $295.5
Part B = $295.5
If Marla's mom deposited $10 after each car wash the coefficient would change.
20c+5w+95.50 - the 20 beside the c is the coefficient and the 95.50 is the constant. A coefficient is the number being multiplied to the variable. In this case c is the variable and 20 is the coefficient. Therefore the constant would change.
Part C = If Marla's mom deposited $10 after each car wash the coefficient would change.

Answer 2

Explanation:

Part A)

Balance equation from the savings account

`s=20*c+5*w*+95.5` equation(1)

s= balance from the saving account ($)

c=number of weeks she deposits money

w= number of times she washes the car

20= amount ($) Marla deposits each week

5= amount ($)Marla’s mom deposits each time she washes the car

95.5= initial amount ($) Marla has in the account

Part B)

We replace c=20 , w=5 in the equation (1) :

`s=20*20+5*5+95.5=400+25+95.5=520.5`

Answer B) : Marla will have $520.5 in her account

Part C)

If Marla’s mom deposited $10 after each car wash, in the equation (1) we will should change the value of the constant 5, because this is the deposit for washing the car in part A) and in part C) she deposits $10.