## dainel40 2 years ago A baseball team plays in a stadium that holds 51,000 spectators. With ticket prices at \$10, the average attendance had been 38,000. When ticket prices were lowered to \$8, the average attendance rose to 42,000. Find the demand function (price p as a function of attendance x), assuming it to be linear??

1. dainel40

I just need to find the equation. i keep getting this and its wrong : p = -1000 x+ 59,000

2. jim_thompson5910

With ticket prices at \$10, the average attendance had been 38,000 means x = 38000 p = 10 giving you one point (38000, 10)

3. jim_thompson5910

When ticket prices were lowered to \$8, the average attendance rose to 42,000 means x = 42000 p = 8 so another point is (42000, 8)

4. jim_thompson5910

now find the slope of the line through those two points

5. dainel40

yes and i get p = -1000 x+ 59,000

6. dainel40

it says its wrong

7. jim_thompson5910

the slope is way to big

8. jim_thompson5910

m = (y2-y1)/(x2-x1) m = ( 8- 10)/(42000-38000) m = -2/4000 m = -1/2000 So the slope of the line that passes through the two points is -1/2000

9. dainel40

and how u find b?

10. jim_thompson5910

y = mx + b y = (-1/2000)x + b 38000 = (-1/2000)(10) + b solve for b

11. dainel40

im getting b=7600001/200 n i believe thats way too big

12. jim_thompson5910

38000 = (-1/2000)(10) + b 38000 = -1/200 + b 38000 + 1/200 = b 7600000/200 + 1/200 = b 7600001/200 = b b = 7600001/200 b = 38000.005

13. dainel40

so y=(-1/2000)x +760001/200?

14. dainel40

it says its wrong :(

15. jim_thompson5910

try using decimal form instead of fraction form

16. dainel40

(a) Find the demand function (price p as a function of attendance x), assuming it to be linear.

17. dainel40

thats the actual question

18. jim_thompson5910

i know

19. jim_thompson5910

maybe you entered the fraction in wrong, try it in decimal form

20. dainel40

yea it doesn't let me put in decimals

21. jim_thompson5910

ok post a screenshot of what you're inputting

22. dainel40

sec

23. jim_thompson5910

k

24. dainel40

25. jim_thompson5910

the numbers are different from what you gave me

26. dainel40

yea I just noticed wow.. im sorry

27. jim_thompson5910

it's fine, use the same idea just with these correct values

28. dainel40

Thank you

29. jim_thompson5910

yw