Question

Help Please :)

The following graph shows a striking relationship between the total prison population and the average combined SAT score in the United States. These data can be accurately modeled by.( screen shot of graph included.

S(n) = 904 + 1326/ (n−177)^1.325;
(187 ≤ n ≤ 560)

Here, S(n) is the combined U.S. average SAT score at a time when the total U.S. prison population was n thousand. (Assume a = 177.).

(b) When is S'' a maximum?

Answer 1

s is max when n could take the least value, which 187.

Answer 2

@Jithinkv thanks a lot, but can you help me with another part of the question.

- The rate of decrease of SAT scores with increasing numbers of prisoners is changing fastest when there are _____ thousand prisoners in the country?

Answer 3

differentiate first eqn twice with respect to n and then equate that expression to zero to get the fastest change in rate of decrease of scores.............

Answer 4

i got 387 thousand, is that correct?

Answer 5

how d'you got the answer ? can you write the steps

Answer 6

i plugged in 187 into the original equation to get that answer. i actually got 966

Answer 7

so = 904+ 1326/ (187-177)^1.325

Answer 8

is that correct?

Answer 9

yesssssssssss

Answer 10

is 966 correct?

Answer 11

answer is 187 ,since no. of prisoners is required.

Answer 12

oh i got it, ok well thanks a lot for your help. much appreciated

Answer 13

:)