QuestionFind the average rate of change of COVID-19 infections from 0 to 8 days, assuming 0 at day 0. Round to two decimals.

Studdy Solution

STEP 1

Assumptions1. The number of infections at the start (0 days) is zero. . The number of infections8 days after April1,2020, is5.55 thousand people.
3. The rate of change is calculated as the change in the number of infections over the change in time.

STEP 2

We need to find the average rate of change over the time interval from0 to8 days. The average rate of change is calculated as the change in the number of infections over the change in time.
$Average\, rate\, of\, change = \frac{Change\, in\, infections}{Change\, in\, time}$

STEP 3

Now, plug in the given values for the change in infections and the change in time to calculate the average rate of change.
$Average\, rate\, of\, change = \frac{5.55\, thousand\, people -0\, thousand\, people}{8\, days -0\, days}$

STEP 4

implify the equation to calculate the average rate of change.
$Average\, rate\, of\, change = \frac{.55\, thousand\, people}{8\, days}$

STEP 5

Calculate the average rate of change.
$Average\, rate\, of\, change = \frac{5.55\, thousand\, people}{8\, days} =0.69\, thousand\, people\, per\, day$ The average rate of change from0 to8 days is approximately0.69 thousand people per day.

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