Question

For the data set shown by the table,
a. Create a scatter plot for the data. (You do not need to submit the scatter plot)
b. Use the scatter plot to determine whether an exponential function or a logarithmic function is the best choice for modeling the data.
http://prntscr.com/1507kj

Answer 1

@phi

Answer 2

if you connect the dots what does the curve look like ?

Answer 3

compare to exponential
http://www.purplemath.com/modules/graphexp.htm

and logarithmic
http://www.purplemath.com/modules/graphlog3.htm

Answer 4

i think its a log function

Answer 5

@phi

Answer 6

yes, that looks like the best fit of the two choices they give you.

Answer 7

ok
can you give an example of a log function but it should be from the given question to prove our statement

Answer 8

I could, but it will take some work to find one that matches your data nicely

Answer 9

ok

Answer 10

take the LHS : 1+sec^2xsin^2x

Answer 11

write sec^2x as 1/cos^2x

Answer 12

take the LHS : 1+sec^2xsin^2x
= 1+ sin^2x/cos^2x
= 1+ tan^2x
= sec^2x

Answer 13

take LHS, and use these :-

\(\cos(\alpha\ - \beta) = \cos\alpha \cos\beta + \sin\alpha \sin\beta\)

\(\cos(\alpha\ + \beta) = \cos\alpha \cos\beta - \sin\alpha \sin\beta\)

Answer 14

@ganeshie8

Answer 15

cos α cos β + sin α sin β) – (cos α cos - β sin α sin β) = 2 sin α sin β

2 sin α sin β = 2 sin α sin β

Answer 16

is this correct

Answer 17

LHS = \(\color{green}{\cos(\alpha-\beta)} - \cos(\alpha + \beta)\)

= \(\color{green}{\cos\alpha \cos\beta + \sin\alpha \sin\beta} - (\cos\alpha \cos\beta - \sin\alpha \sin\beta)\)

= \(\color{green}{\cos\alpha \cos\beta + \sin\alpha \sin\beta} - \cos\alpha \cos\beta +\sin\alpha \sin\beta)\)

= \(\cancel{\color{green}{\cos\alpha \cos\beta}} + \sin\alpha \sin\beta \cancel{- \cos\alpha \cos\beta} +\sin\alpha \sin\beta)\)

= \(2\sin\alpha \sin\beta\)

Answer 18

cos terms cancel out, sin terms addup..

Answer 19

thanks

Answer 20

np

Answer 21

any given year, there can be only certain % of students. so it passes vertical line test for a function. so.. ?

Answer 22

yes

Answer 23

yes

Answer 24

its a function cuz no year has 2 different values.

Answer 25

http://prntscr.com/1563rh

Answer 26

x-4 cancels out.

Answer 27

you set the denominator to 0, to get the vertical asymptotes.

Answer 28

x=0

Answer 29

so B

Answer 30

yes

Answer 31

@ganeshie8

Answer 32

solve t :

118e0.024t = 140

Answer 33

once you get t, you need to add it to 1998. to get the actual year

Answer 34

2005

Answer 35

where is the q

Answer 36

@ganeshie8

Answer 37

did u finish your previous q on population ?

Answer 38

what did yu get as answer for that

Answer 39

last answer was 2005

Answer 40

ohk you solved it good :)

Answer 41

-404 = -360 - 44

reference angle is the acute angle with x axis