Question

Xavier has $23.50 in his savings account. He deposits $35 every week. His mother also deposits $20 into the account every time Xavier washes the car. His savings account balance can be shown with the following expression: 20c + 35w + 23.50 Part A: Identify a coefficient, a variable, and a constant in this expression. (3 points) Part B: If Xavier saves for 12 weeks and washes the car 3 times, how much will he have in his account? Show your work to receive full credit. (4 points) Part C: If Xavier’s mother deposited $25 after each car wash, would the coefficient, variable, or constant in the expression change?

Answer 1

A. A coefficient is a constant multiplied with a variable. Example is 20 for 20c and 35 for 35w. A variable is expressed in numerical letters like cfor 20c and w for 35w. A constant is merely a number, like 23.50.

b. w = 12, c = 3; substitute these values to the given equation :
20c+35w+23.5 = ?
20(3)+35(12)+23.5 = $503.5

c. The expression would change for the term 20c. Instead of 20c,it would then be changed to 25c. Note that the equation was made from the problem statement. If one statement changes, then the mathematical terms would be affected. The rest of the other terms would remain as is.