## anonymous 5 years ago The equation, y = 10(1.0605)x, represents the winning prize money, in thousands, for first place in the Indianapolis 500 auto race. x represents the number of years after 1911, the first year. What is the value for 1911 (x = 0)? This is the prize money, in thousands. For instance, if you got 23, this represents $23,000. A.$10,605 B. $10,000 C.$0 Wouldnt the correct answer be A?

1. anonymous

I have to assume that you mean $y = 10(1.0605)^x$

2. anonymous

3. anonymous

If that is correct then let me ask you.. What is $$5^1$$

4. anonymous

5

5. anonymous

What is $$5^0$$

6. anonymous

Ohhhhh then it would be nothing

7. anonymous

No

8. anonymous

What is $$5^2$$

9. anonymous

25

10. anonymous

and $$5^3$$

11. anonymous

125

12. anonymous

Ok, so lets look at it going backward: $5^3 = 125$ $5^2 = 25 = \frac{125}{5}$ $5^1 = 5 = \frac{25}{5}$ $5^0 =\ ? = \frac{5}{5}$

13. anonymous

So what is $$5^0$$

14. anonymous

Then it would be... i think 1?

15. anonymous

Right

16. anonymous

nicely done!

17. anonymous

And this is the case for any number: $b^0 = \frac{b}{b} = 1, \forall b \ne 0$

18. anonymous

Ohhh.... Yea makes much more sense. I am so thankful for this cite!!!! My dad doesnt remember much from high school. :P So he often tells me things that are wrong... Thanks sooooo much! (:

19. anonymous

So if that's the case let's go back to your original problem

20. anonymous

What is $$10(1.0605)^0$$

21. anonymous

Alright. so then it would be 10,00

22. anonymous

Correct? (:

23. anonymous

Exactly.

24. anonymous

Nice work.

25. anonymous

Haha! Nope the credit goes to you (: Thanks a bunch!