Question

Liz uses an app on her phone to keep track of how many steps she takes. This table shows the number of steps she took each day over the past week.

Days|Steps
1|6762
2|5396
3|6330
4|7869
5|8028
6|10782
7|6577

What was the average rate of change in the number of steps she took between the 2nd day and the fith day? Round your answer to the nearest whole number.

Answer 1

To find the average rate of change in the number of steps Liz took between the 2nd day and the 5th day, we can use the formula for average rate of change:

\[
\text{Average Rate of Change} = \frac{\text{Change in Steps}}{\text{Change in Days}} = \frac{\text{Steps on Day 5} - \text{Steps on Day 2}}{5 - 2}
\]

From the table:

- Steps on Day 2: 5396
- Steps on Day 5: 8028

Now we can substitute the values into the formula:

\[
\text{Change in Steps} = 8028 - 5396 = 2632
\]
\[
\text{Change in Days} = 5 - 2 = 3
\]

Now we calculate the average rate of change:

\[
\text{Average Rate of Change} = \frac{2632}{3} \approx 877.3333
\]

Rounding to the nearest whole number, the average rate of change in the number of steps between the 2nd day and the 5th day is:

\[
\boxed{877}
\]