Math  /  Data & Statistics

QuestionIn trying to calculate how much money could be saved by packing lunch, Roxanne recorded the amount she spent on lunch each day. \begin{tabular}{|l|c|} \hline \multicolumn{2}{|c|}{ Amount Roxanne spent on lunch } \\ \hline \multicolumn{1}{|}{ Day } & Amount spent \\ \hline Tuesday & $2\$ 2 \\ \hline Wednesday & $3\$ 3 \\ \hline Thursday & $9\$ 9 \\ \hline Friday & $7\$ 7 \\ \hline Saturday & $4\$ 4 \\ \hline \end{tabular}
According to the table, when was the rate of change greater? between Wednesday and Saturday between Tuesday and Friday Submit

Studdy Solution

STEP 1

1. The rate of change is calculated as the difference in the amount spent between two days.
2. We are comparing the absolute values of the rate of change.

STEP 2

1. Calculate the rate of change between Wednesday and Saturday.
2. Calculate the rate of change between Tuesday and Friday.
3. Compare the two rates of change.

STEP 3

Calculate the rate of change between Wednesday and Saturday:
Amount spent on Wednesday: $3 \$3
Amount spent on Saturday: $4 \$4
Rate of change: 43=1 |4 - 3| = 1

STEP 4

Calculate the rate of change between Tuesday and Friday:
Amount spent on Tuesday: $2 \$2
Amount spent on Friday: $7 \$7
Rate of change: 72=5 |7 - 2| = 5

STEP 5

Compare the two rates of change:
Rate of change between Wednesday and Saturday: 1 1
Rate of change between Tuesday and Friday: 5 5
The greater rate of change is between Tuesday and Friday.
The rate of change is greater between Tuesday and Friday.

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