Question

he number of people, y, who received a forwarded email after x days is shown in the table.

Use the table to answer the question.

Days (x) 0 1 2 3
People (y) 8 56 392 2744
What is the rate of change for the interval 0–3 days?

(1 point)
Responses

0.00011
0.00011

342.63
342.63

912
912

917.33

Answer 1

To find the rate of change for the interval 0–3 days, we will use the formula for the average rate of change:

\[
\text{Rate of Change} = \frac{y_2 - y_1}{x_2 - x_1}
\]

Using the values from the table:
- At \(x_1 = 0\), \(y_1 = 8\) (people)
- At \(x_2 = 3\), \(y_2 = 2744\) (people)

Substituting these values into the formula gives us:

\[
\text{Rate of Change} = \frac{2744 - 8}{3 - 0} = \frac{2736}{3} = 912
\]

Therefore, the rate of change for the interval 0–3 days is **912**.

The correct response is:

**912**