Question

worried about going over her storage limit, destiny monitored the number of undeleted voicemail messages stored on her phone each day. voicemail messages on destinys phone. according to the graph, when was the rate of change greater? between sunday and monday between wednesday and thursday

Explanation:

Step1: Calculate rate of change formula

The rate of change formula is $\frac{\Delta y}{\Delta x}=\frac{y_2 - y_1}{x_2 - x_1}$.

Step2: Calculate rate of change between Sunday and Monday

On Sunday, $y_1 = 4$, on Monday $y_2=7$, $x_1 = 0$, $x_2 = 1$. So rate of change $r_1=\frac{7 - 4}{1-0}=3$.

Step3: Calculate rate of change between Wednesday and Thursday

On Wednesday, $y_1 = 2$, on Thursday $y_2 = 10$, $x_1 = 3$, $x_2 = 4$. So rate of change $r_2=\frac{10 - 2}{4 - 3}=8$.

Step4: Compare the rates of change

Since $8>3$, the rate of change is greater between Wednesday and Thursday.

Answer:

between Wednesday and Thursday