The level of water in a draining pool can be modeled with the function d(t)= 12 (.72) ^ t, where d is the depth of water, measured in feet, and t is the amount of time it’s been draining, measure in days. Calculate the average rate of change for 0 greater or equal to t and 4 is greater or equal to t.

-2.195

Step-by-step explanation:

Given the function:

is the depth of water in feet and

is the amount of time

To find:

The average rate of change for in the interval [0, 4].

Solution:

The required rate of change in the time interval [0, 4] can be represented as:

Change in the function over the interval [0, 4] and the change in the interval.

OR

the system of inequity is

step-by-step explanation:

from the given graph it is noticed that we have two related lines. one is solid and another is dashed.

if a line passing through two points, then the equation of line is

the solid line passing through the points (0,4) and (4,0).

the related equation of solid line is .

similarly, find the related equation of dashed line. the dashed liune passing through the points (0,0) and (3,1).

the related equation of dashed line is

from the given graph it is noticed that the point (0,1) lies on the shaded region, therefore the point (0,1) must be satisfied by the related equations.

check the related equations by the point (0,1).

this statement is true if the sign of inequality is < instead of equality. since it is an solid line therefore the sign of inequality will be . the required inequality is

similarly, check the second related equation.

it is a dashed line, so this statement is true if the sign of inequality is > . the required inequality is

circle area = pi * radius^2

if diameter = 10 then radius = 5

circle area = pi * 5^2

circle area = pi * 25

circle area = 78.5398163397 square units

step-by-step explanation: