Answered

Westonci.ca makes finding answers easy, with a community of experts ready to provide you with the information you seek. Experience the ease of finding quick and accurate answers to your questions from professionals on our platform. Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform.

The function f(x)=2x^2+x+5 represents the number of jars of pickles, y in tens of jars, denise expects to sell x weeks after launching her online store. What is the average rate of change over the interval 1<\= x <\= 2? Pls help quick!

Sagot :

xKelvin

Answer:

The average rate of change is 7.

Step-by-step explanation:

We are given the function:

[tex]f(x)=2x^2+x+5[/tex]

Which represents the number of jars of pickles, y (in tens of jars), Denise expects to sell x weeks after launching her store.

We want to find the average rate of change over 1 ≤ x ≤ 2.

Essentially, we want to find the slope over f(1) and f(2).

Thus, first evaluate the two endpoints:

[tex]f(1)=2(1)^2+(1)+5=2+1+5=8[/tex]

And:

[tex]f(2)=2(2)^2+2+5=8+2+5=15[/tex]

This gives us the two points (1, 8) and (2, 15).

Then the average rate of change will be the slope between the two:

[tex]\displaystyle m=\frac{15-8}{2-1}=7[/tex]

With units, this means that over the first and second week, Denise sold on average 70 jars of pickles per week.

Thank you for choosing our service. We're dedicated to providing the best answers for all your questions. Visit us again. We hope our answers were useful. Return anytime for more information and answers to any other questions you have. Westonci.ca is here to provide the answers you seek. Return often for more expert solutions.