Question

Write an equation to represent the data shown in the table below.

x y
-2 152
-1 76
0 38

Answer 1

The equation that represents the data on the table shown below is y = 38(1/2)^x
your welome. :)

Answer 2

`y=38((1)/(2))^x`

Explanation:

x y

-2 152

-1 76

0 38

From the value of y we can see that the value are decreasing

152/2= 76

76/2= 38

So the table represents exponential equation

y=ab^x

Plug in x=0 and y = 38

38=ab^0

38=a

now find out b

Plug in -1 for x and 76 for y

76= ab^(-1)

76=38b^-1

b=1/2

So equation becomes
`y=38((1)/(2))^x`