Question

PLEASE HELP ME ITS ALREADY LATE AND ITS BRINGIN MY GRADE WAY DOWN PLEASE HEPL ME!!!!
The following graph is of an exponential function of the form y=a*bx.
What values of a and b would make this equation work?
a=
b=

Answer 1

Answer:

$a=15$

$b=\frac{1}{3}$

Step-by-step explanation:

we have an exponential function of the form

$y=a(b^x)$

where

a is the initial value or y-intercept

b is the base

Looking at the graph

we can see the ordered pairs (0,15) and (1,5)

(0,15) ---> y-intercept

so

The value of a is equal to

$a=15$

substitute

$y=15(b^x)$

with the point (1,5) find the value of b

For x=1, y=5

substitute in the exponential function

$5=15(b^1)$

solve for b

$5=15(b)$

$b=\frac{1}{3}$

therefore

The exponential function is

$y=15(\frac{1}{3}^x)$