Question

math problem

Answer 1

@florisalreadytaken

Answer 2

@snowflake0531

Answer 3

ok, so following your previous post, we will do it the way it explained it -- so the form we want it to be is\[ f(x)=a(b)^x \] right?

Answer 4

yep

Answer 5

"Since the points have consecutive x values, the ratio of the y values gives the common ratio" \( \frac{-80}{-5} \Rightarrow b= 16 \)

thus,
\[ f(x)=a(16)^x \]

Answer 6

thanks

Answer 7

we're not done yet haha

Answer 8

we have to plug in the values for the 1st point:

\[ -5 =a(16)^0 \Rightarrow a=? \]

Answer 9

a

Answer 10

?

Answer 11

a=-5

Answer 12

great!
\[ a=-5 \]
thus, we end up on this formula:

\[ f(x)=-5 · (16)^x \]

Answer 13

thanks

Answer 14

DO NOT forget the exponential \(x\) haha

Answer 15

ahh lapsus -- we have to solve for b too...

let's do that then

plug in the values of the 2nd point:

\[ −80=(−5) * b^4 \]
\[ b=2 \]
THUS, we get this equation:

\[ \Large f(x)=-5 \cdot 2^{x} \]