Question

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

Answer 1

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

Answer:

$y=38(\frac{1}{2})^x$

Step-by-step 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 $y=38(\frac{1}{2})^x$