Question

worried about going over her storage limit, cassie monitored the number of undeleted voicemail messages st day. voicemail messages on cassies phone day voicemail messages sunday 10 monday 3 tuesday 4 wednesday 9 thursday 3 according to the table, when was the rate of change greater? between monday and thursday between tuesday and wednesday

Explanation:

Step1: Calculate rate of change between Monday and Thursday

The number of voicemail messages on Monday is 3 and on Thursday is 3. Rate of change formula is $\frac{y_2 - y_1}{x_2 - x_1}$. Here, $y_1 = 3$, $y_2 = 3$, $x_1=1$ (Monday is 1 - day after Sunday), $x_2 = 4$ (Thursday is 4 - days after Sunday). So rate of change $=\frac{3 - 3}{4 - 1}=0$.

Step2: Calculate rate of change between Tuesday and Wednesday

The number of voicemail messages on Tuesday is 4 and on Wednesday is 9. Using the rate - of - change formula with $y_1 = 4$, $y_2 = 9$, $x_1 = 2$ (Tuesday is 2 - days after Sunday), $x_2=3$ (Wednesday is 3 - days after Sunday). Rate of change $=\frac{9 - 4}{3 - 2}=5$.

Step3: Compare the two rates of change

Since $5>0$, the rate of change is greater between Tuesday and Wednesday.

Answer:

between Tuesday and Wednesday