Question

worried about going over his storage limit, roger monitored the number of undeleted voicemail messages stored on his phone each day. voicemail messages on rogers phone graph with days tuesday to saturday and voicemail messages on y - axis according to the graph, when was the rate of change greater? between friday and saturday between wednesday and thursday

Explanation:

Step1: Recall rate of change formula

The rate of change (slope) between two points \((x_1,y_1)\) and \((x_2,y_2)\) is \(\frac{y_2 - y_1}{x_2 - x_1}\). Since the time interval between consecutive days is 1 day (\(x_2 - x_1 = 1\)), the rate of change is just \(y_2 - y_1\).

Step2: Calculate rate for Wednesday - Thursday

Wednesday: \(y_1 = 17\), Thursday: \(y_2 = 25\). Rate of change: \(25 - 17 = 8\).

Step3: Calculate rate for Friday - Saturday

Friday: \(y_1 = 15\), Saturday: \(y_2 = 19\). Rate of change: \(19 - 15 = 4\).

Step4: Compare the two rates

\(8>4\), so the rate of change is greater between Wednesday and Thursday.

Answer:

between Wednesday and Thursday