Question

Write an exponential equation in the form y=ab^x
which graph passes through (-3,24) (-2,12)

I think its 3(24)^x

Answer 1

did you plug in the points into y=ab^x ?

Answer 2

\[24=ab^{-3} \\ 12=ab^{-2}\]

Answer 3

this is a system of equations we have to solve

Answer 4

Like you could solve on of them for a in then use that in the other equation to solve for b

Answer 5

I didn't understand any of that.
I figured it out. thanks though.

Answer 6

\[25 =ab^{-3} \rightarrow 25b^{3}=ab^{-3}b^{3} \rightarrow 25b^3=ab^{0} \\ \rightarrow 25b^3=a(1) \rightarrow 25b^3=a\]
see this first equation was solved for a

Answer 7

you are going to plug that into the other equation

Answer 8

and solve for b

Answer 9

you i got it already. thanks!

Answer 10

oops 25 is suppose to be 24

Answer 11

ok