You borrow $40 from your sister. To repay the loan, you pay her $5 a week. Write a linear equation to model the situation and check with unit alalysis.
as;ldkfj
To write a linear equation that models this situation, we need to consider the amount borrowed, the weekly repayments, and the number of weeks.
Let's break it down:
Let's represent the amount borrowed as 'B'.
The weekly repayments can be represented as 'R'.
And the number of weeks can be represented as 'W'.
Based on the information given, we know that B is $40, and R is $5.
The amount repaid after W weeks can be calculated as R * W.
Therefore, the equation that models this situation is:
Amount repaid (AR) = R * W
Substituting the given values into the equation, we have:
AR = $5 * W
Now let's check it with unit analysis:
On the left-hand side (LHS) of the equation, we have "Amount repaid (AR)", which represents a monetary value in dollars.
On the right-hand side (RHS) of the equation, we have "$5 * W". Here, we are multiplying the amount of repayments ($5) by the number of weeks (W), which gives us a monetary value in dollars.
Since both sides of the equation represent monetary values in dollars, the equation is consistent with unit analysis and accurately models the situation.
Therefore, the linear equation that represents this situation is AR = $5W.