Ask your own question, for FREE!
Mathematics 88 Online
OpenStudy (anonymous):

The function below shows the number of students of a school who enrolled for cooking classes. Let f(x) represent the total number of students who enrolled for the classes after x years: (Equation below) The average rate of change in the number of students who enrolled for cooking classes from the first to the fifth year is ________students per year. Round your answer to the nearest whole number. Numerical Answers Expected!

OpenStudy (anonymous):

\[f(x) = 11(1.35)^x\]

OpenStudy (anonymous):

thats the expression we have to use?

OpenStudy (anonymous):

Yeah.

OpenStudy (anonymous):

whats 1.35*1.35*1.35*1.35*1.35

OpenStudy (anonymous):

4.5 (Rounded from 4.4840334375)

OpenStudy (anonymous):

alright now 4.5*11?

OpenStudy (anonymous):

get its first derivative then plug 5 instead of x

OpenStudy (anonymous):

49.5

OpenStudy (anonymous):

now whats the nearest whole number from 49.5 49 or 50?

OpenStudy (anonymous):

Uhm, I wanna say 50, but it's slap in the middle. 0.0

OpenStudy (anonymous):

Because you always round up, never down, but the way you asked. xD

OpenStudy (anonymous):

you are correct do you know the rule on rounding?

OpenStudy (anonymous):

"always round up, never down" ?

OpenStudy (anonymous):

4- do not change the number 5+ round up

OpenStudy (anonymous):

Oh, yeah. I knew that. :)

OpenStudy (anonymous):

Hey he need the average rate of change not the total number after 5 years.

OpenStudy (anonymous):

Oh! Then shouldn't it be \[4.5^5?\]

OpenStudy (anonymous):

get first derivative.Then put x= 5

OpenStudy (anonymous):

im sorry, \[14.85^5\]

OpenStudy (anonymous):

no

OpenStudy (anonymous):

Do you know MVT

OpenStudy (anonymous):

Noooooo...

OpenStudy (anonymous):

always in an equation like that follow pemdas parenthesis exponents multiply division add subtract

OpenStudy (anonymous):

nothing can be multiplied in parenthesis so does it have an exponent? in this case yes so use the exponent first then multiply by 11

OpenStudy (anonymous):

Okay.

OpenStudy (anonymous):

average rate from 1 to 5 \[rate = \frac{ Y _{2}- Y _{1} }{ X _{2}-X _{1} }\] get total student for 5 and 1 then use the average rate equation.

OpenStudy (anonymous):

\[F(1) = 14.85\] \[F(5)= 49.324\] \[(1,14.85)&(5,49.324)\] use these two points to determine the average rate.

OpenStudy (anonymous):

@KlOwNlOvE Hey man it will be solved like what i did as you gave him the total students after 5 years.

OpenStudy (anonymous):

|dw:1406429707795:dw|

Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!
Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!