A company finds that on average, they use 43 minutes for each meeting.

Question

An employee sketches a graph to show the total amount of time in minutes, T, used for m meetings. The graph shows the value of T for 1 to 5 meetings.



If the employee counts by 10's, what should be the largest value on the T-axis of his or her graph so that the scale is the most appropriate for the given information?

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Answer 1

To find the total time \( T \) used for multiple meetings, you can use the formula:

\[ T = \text{Number of meetings} \times \text{Average duration of each meeting} \]

In this case, the average duration of each meeting is 43 minutes.

For 1 to 5 meetings, the total time would be calculated as follows:

• For 1 meeting: \[ T = 1 \times 43 = 43 \text{ minutes} \]
• For 2 meetings: \[ T = 2 \times 43 = 86 \text{ minutes} \]
• For 3 meetings: \[ T = 3 \times 43 = 129 \text{ minutes} \]
• For 4 meetings: \[ T = 4 \times 43 = 172 \text{ minutes} \]
• For 5 meetings: \[ T = 5 \times 43 = 215 \text{ minutes} \]

The maximum value of \( T \) for 5 meetings is 215 minutes.

If the employee counts by 10's, the largest value on the T-axis should ideally be rounded up to a convenient number that fits this scale. In this case, the next multiple of 10 above 215 is 220.

So, the largest value on the T-axis that would be most appropriate is:

220