A product sells for $16.50 and cost doubles every 35 years. The teacher insists it reaches 36.50 in 2040. How?

Question

I dunno why, but she continues to insist that this is the answer, and there's no way I could figure it out. I graphed the general equation:

y = 16.50(2)^x
(where x is groups of 35 years)

and then graphed y = 36.50 and used my calculator to find the point of intersection: (1.1454305). Multiplying this by 35 to get the number of actual years, I got about 40. Adding this to 1996, you get 2036. My math teacher absolutely DEMANDS that we figure out how to get it at 2040. How did she get that? She even did it to verify her work and got the same answer again. Am I insane or something?

Any help is greatly appreciated!

I mean that the price doubles. As in, $16.50, in 35 years, is $33.

AND THE YEAR THAT IT BEGINS IS 1996, NOT 2007!!!

Answer 1

in 1996, it's $16.50.

1996 + 35 = 2031

At 2031, the price would be $33

There are 35 years between 1996 and 2031, and so there are 35 yearly amounts that the price raises by.

You can calculate that yearly amount like this:

16.5/35= $0.47 each year.

2040-1996 = a 44 year difference

$0.47 x 44 years = $20.68

$20.68 + $16.50 =

$37.18

Answer 2

1996+35=2031 is when the price will double again
price in 2031=16.5*2=33, then it will grow by another 33 in 35 years
33/35=.9429 price increase every year from 2031 to 2066
2040-2031=9 years
9*.9429=8.4857 price increase in 9 years
8.49+33=41.49 should be the price in 2040

Or the price growth could be exponential, but then it would be
price = 33*(2^(9/35)), which would give you about 39.44 in 2040, this formula works even if tested against the original price, the formula for the year 2040 would be price = 16.5*(2^(44/35)), which gives us the same 39.44. So if you wanted to graph that, just use this last formula and change 44 to x. Then you can graph price increases year by year from the year 1996 and on.

Answer 3

Well ignoring your fancy math calculations let's look at this simply. This year is 2007. Add 35 yrs will give you 2042. As you stated a product sells for 16.50 and cost doubles in 35 years then In 2042 the cost would have to be 16.50 * 2 or 33.00. Given that it could not be greater than 33.00 in an earlier year. So either your teacher is wrong and somehow has made a mistake or there is more input that I don't know about. Good luck.

Answer 4

Like my universal shop "abode deals/ high quality shop, they have a load of inventory introduced from the manufacturers and sell it dirt low-fee. Their Easter Eggs have been a million/2 food market fee this week and that i've got taken great element approximately it. It must be an overload of stuff that they are able to't do away with and so sell it off to shops extra low fee. i've got observed that Easter eggs are ridiculously low-fee this 3 hundred and sixty 5 days, they only sell them at decreased fee after Easter to do away with overload.

Answer 5

Oops! Didn't see the whole, "starts in 1996" part!

Answer 6

are you saying that the cost doubles or the price doubles?

Answer 7

I have no idea. I can't figure it out. What is up with your teach?