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1. (05.07 MC)

The price of bread has been increasing over the last month. Brian believes there is a positive correlation between the number of predicted storms and the price of bread.

\begin{tabular}{|l|l|}
\hline
Number of Storms Predicted & Bread Price \\
\hline
1 & [tex]$\$[/tex] 2.30[tex]$ \\
\hline
3 & $[/tex]\[tex]$ 2.41$[/tex] \\
\hline
4 & [tex]$\$[/tex] 2.50[tex]$ \\
\hline
6 & $[/tex]\[tex]$ 2.68$[/tex] \\
\hline
7 & [tex]$\$[/tex] 2.81$ \\
\hline
\end{tabular}

Use the table to determine the average rate of change from 3 to 6 storms. (1 point)



Answer :

GinnyAnswer
To determine the average rate of change of the bread price from 3 to 6 predicted storms, we need to follow these steps:

1. Identify the prices corresponding to 3 and 6 predicted storms.
- From the table, the bread price when 3 storms are predicted is \[tex]$2.41. - Similarly, the bread price when 6 storms are predicted is \$[/tex]2.68.

2. Calculate the change in price.
- The change in price is the price at 6 storms minus the price at 3 storms.
- [tex]\(\Delta \text{Price} = 2.68 - 2.41 = 0.27\)[/tex]

3. Calculate the change in the number of storms.
- The change in the number of storms is the number of storms at the second point minus the number of storms at the first point.
- [tex]\(\Delta \text{Storms} = 6 - 3 = 3\)[/tex]

4. Determine the average rate of change.
- The average rate of change is the change in price divided by the change in the number of storms.
- [tex]\(\text{Average Rate of Change} = \frac{\Delta \text{Price}}{\Delta \text{Storms}} = \frac{0.27}{3} = 0.09\)[/tex]

Thus, the average rate of change of the bread price from 3 to 6 predicted storms is [tex]\( \$0.09 \)[/tex] per storm.

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