## hiralpatel121 3 years ago What would the domain and range be?

1. andriod09

doamin is the x in a graph, while the range would be the y

2. hiralpatel121

3. hiralpatel121

What would it be in the following attached docs?

4. andriod09

|dw:1347377860332:dw|

5. andriod09

use that. you have to answer the equations first.

6. hiralpatel121

This is what the problems looked like. And the ones I attached earlier are the answers.

7. andriod09

the first numbers are x and the y are the last numbers

8. hiralpatel121

So what would it be?

9. hiralpatel121

I have graphed it and everything.

10. andriod09

so you good?

11. hiralpatel121

No

12. hartnn

u need domain and range of P(s)=69.70s-1077 right?

13. hiralpatel121

Yes

14. hartnn

what values can s take ? any ?

15. hiralpatel121

What do you mean?

16. hartnn

is there any restriction on value of s ?

17. hiralpatel121

First I found P(0) which equals (0, -1077). Then I found P(s) which equals (15.45, 0)

18. hiralpatel121

Those are the two points. Now I have to graph it and then find the domain and range.

in order to make profit domain should be [16, max no of radio available] correspondingly you can find range.

20. hiralpatel121

Wouldn't the domain be [0,-1077]?

lets say total no. of radio is a your function is P(s)=69.70s-1077 values of s is the domain at s=15.45 break even point occurs so at this point P(s)=0 But radio quantity is in integer so s=16. Nowo if he sells more than this only he will get profit i.e., [16 a] at 16 P(s)=0 and at s=a, P(a), so range is [P(16) P(a)]=[0 P(a)]

Is it clear?

23. hiralpatel121

I don't get it.

:(

25. hiralpatel121

So would range be [0, 15.45]?

lets solve together. you start I'll correct you

27. hiralpatel121

I have already solved it earlier. [0, -1077] and [15.45, 0]

28. hiralpatel121

Now the directions say to graph these points and then determine the domain and range.

in that answer is correct your domain is (0 infinity) [all possibilities included]

30. hiralpatel121

So what's the range?

[-1077 infinity)

32. hiralpatel121

Okay so Domain is [0, infinity) and Range is [-1077, infinity). Correct?

yes

34. hiralpatel121

Why wouldn't the domain be [0, 15.45]?

first of all no. of radio cannot be 15.45

36. hiralpatel121

Nevermind, I got it. Can you help me with one more problem?

second during this part only loss will occur. what about the profits? it will occur after your 15.45 so extend your range. finally max. no. of radio are not given so infinite number can exist. therefore domain is [0 infinity), not below zero as number of radio cannot be negative

Yea sure please ask. If I'll be able to help I'll surely do.

39. hiralpatel121

all parts?

41. hiralpatel121

Yes

a) (8, 45.7), (11, 48.1)

43. hiralpatel121

Okay

44. hiralpatel121

Is (b) y = .8x+39.3 ?

you put the values of x and y in equation and solve it. I haven't solved it. To check you got it right put the know value and check the answer

*known

47. hiralpatel121

m = 48.1-45.7/11-8 = -2.4/3 = .8 y-y1=m(x-x1) y-45.7 = .8(x-8) y-45.7 = .8x-6.4 y = .8x+39.3

yes. you got it.

put x=15 and obtain output

50. hiralpatel121

I got I = 51.3

so can you interpret the results?

52. hiralpatel121

"In 2015, PA's per capita income was \$51.3 thousand." ??

will be

54. hiralpatel121

Okay

56. hiralpatel121

I have no clue.

Initially in 2000, the income was 39.3 (your intercept). This per capita income increases unifomly, whose rate is given by the slope of the curve, which is 0.8.

and as the time will progress the per capita income will increase only. as per the equation, with increase in time it cannot decrease.

I hope you got it?

60. hiralpatel121

Yes, I got it.

:)

62. hiralpatel121

I need help with a few more whenever you're free.

ok no problem.

64. hiralpatel121

which part?

hey u thr? Is (a) solved.

67. hiralpatel121

No. Neither of them are solved. I don't understand any of the parts.

use this to solve (a) http://en.wikipedia.org/wiki/Simple_linear_regression

you need to fit the data given to a equation.

70. hiralpatel121

Okay

the line will be y=mx+c form.

find m first using the equations on web page(beta) then find c( alpha on web page)

let me know when you got something.

74. hiralpatel121

Honestly, I have no idea how to do this.

giv me 5 min

see, t is years sine 2000. So subtract 2000 from years. You have 5, 7...11 as x. and ticket cost is y

now find the average of x and y separately.

got upto this?

79. hiralpatel121

How would I find the average of x and y?

sum all numbers of x and divide by total number of values of x, similarly for y

use this it will help http://www2.isye.gatech.edu/~sman/courses/6739/SimpleLinearRegression.pdf