Question

the number N of state and federal inmates in millions during year x, where x ≥ 2002 can be approximated by the following formula. N=0.05x - 99.25 determine the year in which there were 1.1 million inmates.

Answer 1

you want to know the year when there are 1.1 million inmates

so you want to know the value of x (the year) when N = 1.1 (N is number of inmates in millions)

so,

N=0.05x - 99.25

1.1 = 0.05x - 99.25 .. plug in N = 1.1

now solve for x

Answer 2

how do I solve for x

Answer 3

first you want to move that 99.25 over, how do you do that?

Answer 4

how do you undo the subtraction of 99.25?

Answer 5

99.25 + 0.05x?

Answer 6

what do you need to add to both sides

Answer 7

oh ok so 1.1 + 99.25 = 0.05x - 99.25 + 99.25

Answer 8

good

Answer 9

notice how the - 99.25 + 99.25 on the right side adds up to 0, and it goes away

Answer 10

so this is effectively like you're "moving" the 99.25 over to the other side

Answer 11

correct so now i have 1.1 + 99.25 = 0.05x

Answer 12

now combine the terms on the left side

Answer 13

which becomes 100.35 = 0.05x

Answer 14

good

Answer 15

then I would divide 100.35 by 0.05 right

Answer 16

correct, you want to undo the multiplication of 0.05

Answer 17

so you divide both sides by 0.05

Answer 18

which would give me the 2007

Answer 19

yep

Answer 20

x = 2007

Answer 21

ok thank you so much seems simple now

Answer 22

you're welcome, yeah it's not too bad once you get a handle on it and practice it

Answer 23

I have so many more problems that I dont understand

Answer 24

well don't hesitate to ask, but keep in mind that you should try some yourself and see how far you get

Answer 25

ideally there should be a balance between asking questions and doing the work on your own

ie, you shouldn't go crazy asking questions, but at the same time, you shouldn't be afraid to ask

Answer 26

I agree I think I have done good so far on my own

Answer 27

that's good, you don't want to be completely reliant on others

Answer 28

I have a total of 200 questions that I am doing and only have 26 left that I havent been able to figure out on my own

Answer 29

wow that's a lot

Answer 30

yeah I know

Answer 31

are the 26 you've yet to figure out related at all?

Answer 32

or are some related

Answer 33

only one is related to what we just did

Answer 34

the rest are different

Answer 35

ok try to do that one and see if you get anywhere with it

Answer 36

i gotcha

Answer 37

I will thanks again

Answer 38

sure thing