QuestionWatch VideoShow ExamMatthew is saving money each week. Matthew's savings are represented by the table belor Find the rate of change.Matthew's Savings\begin{tabular}{|c|c|}\hline Weeks (x) & Total Savings (y) \\\hline 3 & $82 \\\hline 5 & $122 \\\hline 7 & $162 \\\hline 9 & $202 \\\hline\end{tabular}Answer Attempt 1 out of 2$□ per weekSubmit Answer
Q. QuestionWatch VideoShow ExamMatthew is saving money each week. Matthew's savings are represented by the table belor Find the rate of change.Matthew's Savings\begin{tabular}{|c|c|}\hline Weeks (x) & Total Savings (y) \\\hline 3 & $82 \\\hline 5 & $122 \\\hline 7 & $162 \\\hline 9 & $202 \\\hline\end{tabular}Answer Attempt 1 out of 2$□ per weekSubmit Answer
Calculate Rate of Change: To find the rate of change, we need to calculate the difference in savings divided by the difference in weeks. We can use any two points from the table to do this. Let's use the first and last points for our calculation.
Identify Data Points: The first point is 3weeks,$$82\) and the last point is 9weeks,$$202\). The change in savings is $202−$82, and the change in weeks is 9−3.
Find Differences: Now we perform the subtraction to find the differences: Change in savings = $202 - $82 = $120, and change in weeks = 9 - 3 = 6 weeks.
Divide for Rate: Next, we divide the change in savings by the change in weeks to find the rate of change: Rate of change = $120/6 weeks = $20 per week.
Interpret Result: This rate of change means that Matthew is saving $20 each week. This is the final answer.
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