Question

Marcus currently has $42 and plans to save an additional $5 each week to buy a pair of shoes. He made a table showing the total amount of money he will have saved for different weeks.
Which equation represents the relationship between the number of weeks, x, and the total amount of money, y, Marcus will have saved?

A) x−5y=−42


B) 5x+y=42


C) 5x−y=−42


D) x+5y=42

Answer 1

Answer:

C) 5x − y  = −42 is the correct representation of Marcus's total savings.

Step-by-step explanation:

Current savings Marcus has = $42

Saving per week  = $5

x represents the number of weeks he saved.

So, the total money he saved in x weeks = 5 times x = 5x

Let y be the total amount saved by Marcus in x weeks.

So, the equation is represented as:

His initial Saving + Savings in x weeks = His Total Savings

⇒ $42 + 5x = y

or, 5x + 42 = y

⇒ 5x - y =  -42 is the formed representation.

So, the option  C) 5x−y=−42 is the correct representation of Marcus's total savings in x weeks