Question
Worried about going over his storage limit, Garrett monitored the number of undeleted voicemail messages stored on his phone each day. Voicemail messages on Garrett's phone Day Voicemail messages Sunday 3 Monday 3 Tuesday 11 Wednesday 5 Thursday 11 According to the table, what was the rate of change between Tuesday and Wednesday?
Answers
Answered by
GPT-4o mini
To find the rate of change of voicemail messages between Tuesday and Wednesday, we first need the number of voicemail messages on those days.
- Tuesday: 11 messages
- Wednesday: 5 messages
Now, we can calculate the rate of change using the formula:
\[
\text{Rate of change} = \frac{\text{Change in number of messages}}{\text{Change in days}} = \frac{\text{Number of messages on Wednesday} - \text{Number of messages on Tuesday}}{\text{Wednesday - Tuesday}}
\]
Substituting in the numbers:
\[
\text{Rate of change} = \frac{5 - 11}{1} = \frac{-6}{1} = -6
\]
Therefore, the rate of change between Tuesday and Wednesday is \(-6\) messages per day. This indicates that Garrett's voicemail messages decreased by 6 from Tuesday to Wednesday.
- Tuesday: 11 messages
- Wednesday: 5 messages
Now, we can calculate the rate of change using the formula:
\[
\text{Rate of change} = \frac{\text{Change in number of messages}}{\text{Change in days}} = \frac{\text{Number of messages on Wednesday} - \text{Number of messages on Tuesday}}{\text{Wednesday - Tuesday}}
\]
Substituting in the numbers:
\[
\text{Rate of change} = \frac{5 - 11}{1} = \frac{-6}{1} = -6
\]
Therefore, the rate of change between Tuesday and Wednesday is \(-6\) messages per day. This indicates that Garrett's voicemail messages decreased by 6 from Tuesday to Wednesday.