Question

f(t)=200(5-(9/2+t)) find the average rate of change of f(t) during the first year, use MVT?
Any help would be appreciated

Answer 1

there arent any intervals given which makes this problem harder

Answer 2

MVT MEANS ?

Answer 3

this looks weird

Answer 4

Mean value theorem

Answer 5

it is really
\[f(t)=200(5-(9/2+t))\]?

Answer 6

the average rate of change refers to the mean value theorem but I dont have any intervals so would it be DNE?

Answer 7

yeah it is unfortunately...

Answer 8

or maybe
\[f(t)=200(5-\frac{9}{2+t})\]?

Answer 9

the one that you just put up
is correct

Answer 10

it says "first year" so assuming \(t\) is given in years since you start counting, compute
\[f(1)-f(0)\]

Answer 11

ahh so itd be [0,1]?

Answer 12

yup

Answer 13

no need to divide, since length of interval is 1

Answer 14

awesome thanks

Answer 15

yw