Respuesta :

JeanaShupp

Answer: The average rate at which the water level changed every week = [tex]-\dfrac35[/tex] inches per week.

Step-by-step explanation:

Given: Change in water level in [tex]1 \dfrac23[/tex]  week = [tex]-1\dfrac12[/tex] inches = [tex]-\dfrac32[/tex] icnhes

To find : The average rate at which the water level changed every week.

i.e. Change in water level per week.

As [tex]1\dfrac23 = \dfrac52[/tex]

Change in water level in 1 week = [tex]-\dfrac{3}{2}\div\dfrac52 = -\dfrac32\times \dfrac25= -\dfrac35[/tex]

Hence, the average rate at which the water level changed every week = [tex]-\dfrac35[/tex] inches per week.

facundo3141592

We want to find the average rate of change at which the water level changed in a given time period.

We will find that the average rate of change is:

[tex]r = - 0.9 in/week[/tex]

We define the average rate of change as the quotient between the total change and the time it takes.

Here we have:

total change = -(1 + 1/2) in

Time = (1 + 2/3) weeks

Then the average rate of change is:

[tex]r = \frac{-(1 + 1/2) in}{(1 + 2/3) weeks} = - 0.9 in/week[/tex]

This means that the water level decreases, in average, 0.9 inches per week.

If you want to learn more, you can read:

https://brainly.com/question/23483858

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