Question

What is the multiplicative rate of change for the exponential function graphed to the left?

Answer 1

TO FIND :

◆Multiplicative rate of change for the exponential function graphed to the left.

◆That is in exponential function equation given by

y = Ab^x , find b.

SOLUTION

◆The exponential function is given by

y = Ab^x

◆ where,

A is the initial amount ,

b is the rate of growth

x is the time period.

◆From graph ,

Consider point (0,2),

x=0 and y=2

◆Substituting in equation,

y = A b^x

2 = A b^0

A = 2

◆Consider, point (2,18) ,

x=2 and y=18

Substituting values,

18 = 2× b^2

b = 3

◆Graph y is increasing 3 times the previous value.

ANSWER:

Multiplicative rate of change for the exponential function = 3

Answer 2

Answer:

The answer you are looking for is 3

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