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!
\[f(x) = 11(1.35)^x\]
thats the expression we have to use?
Yeah.
whats 1.35*1.35*1.35*1.35*1.35
4.5 (Rounded from 4.4840334375)
alright now 4.5*11?
get its first derivative then plug 5 instead of x
49.5
now whats the nearest whole number from 49.5 49 or 50?
Uhm, I wanna say 50, but it's slap in the middle. 0.0
Because you always round up, never down, but the way you asked. xD
you are correct do you know the rule on rounding?
"always round up, never down" ?
4- do not change the number 5+ round up
Oh, yeah. I knew that. :)
Hey he need the average rate of change not the total number after 5 years.
Oh! Then shouldn't it be \[4.5^5?\]
get first derivative.Then put x= 5
im sorry, \[14.85^5\]
no
Do you know MVT
Noooooo...
always in an equation like that follow pemdas parenthesis exponents multiply division add subtract
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
Okay.
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.
\[F(1) = 14.85\] \[F(5)= 49.324\] \[(1,14.85)&(5,49.324)\] use these two points to determine the average rate.
@KlOwNlOvE Hey man it will be solved like what i did as you gave him the total students after 5 years.
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