QuestionGromerlige. Gersuse
The table shows the linear relationship between the balance of a student's savings account and the number of week he has been saving.
\begin{tabular}{|c|c|c|c|c|c|c|}
\hline Weich - & 0 & 1 & 3 & 6 & 8 & 13 \\
\hline \begin{tabular}{c}
Balance \\
(doflars)
\end{tabular} & 32 & 39 & 53 & 74 & 88 & 123 \\
\hline
\end{tabular}
the student saves the same money each week, how much money did the student save after 7 weeks?
A.
B.
C.
D.
Studdy Solution
STEP 1
What is this asking? How much money is in the savings account after 7 weeks, given the student saves the same amount each week? Watch out! Don't forget to find the weekly savings rate first!
STEP 2
1. Find the weekly savings rate
2. Calculate the balance after 7 weeks
STEP 3
First, let's **find the rate of change** in the balance.
Since it's a linear relationship, we can use any two points from the table to find the weekly savings rate.
Let's use the points for week 0 and week 1.
The balance at week 0 is doflars, and at week 1, it's doflars.
The change in balance is:
So, the student saves **7 doflars per week**.
STEP 4
Now that we know the student saves **7 doflars per week**, let's **calculate the balance** after 7 weeks.
We'll start with the initial balance at week 0, which is doflars.
The amount saved after 7 weeks is:
STEP 5
Add this to the initial balance to find the total balance after 7 weeks:
STEP 6
The student has saved after 7 weeks.
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