Question

What is the equation of the exponential graph shown?

Answer 1

Do you have any kind of generic form to use?

Answer 2

Generic form?

Answer 3

I have base of _=___(___) to work with.

Answer 4

ah so something like y=a(b^x) or y=a(b^(cx))

Answer 5

Yes.

Answer 6

Do they give exact coordinates for the points?

Answer 7

No, It's only the graph shown.

Answer 8

well probably need to substitute points to get multiple equations and then solve the system.

Answer 9

My estimates are (1,50), 2,25), (3,12), (4,5), (6,3), (8,2), and (10,1).

Answer 10

ok, hmm do you know if we need to worry about a c term in the power?

Answer 11

Not entirely sure.

Answer 12

50=a*b 25=a*b^2 lets see how that works initially

Answer 13

There is a good chance though, considering that most of the other questions have had a power of 10 involved

Answer 14

so a=50/b which would yield 25=50*b or b=.5 and a would be 100

Answer 15

so lets see if y=100(.5)^x for 3 we would get 12.5 and for 4 we would get 6.25, is that looking close

Answer 16

Okay.

Answer 17

Yeah I think that's close enough I think we have it.

Answer 18

I was able to solve it. Thank you.

Answer 19

Just to confirm was that correct?