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The ordered pairs model an exponential function, where w is the function name and t is the input variable.

{(1, 60), (2, 240), (3, 960), (4, 3840)}

What is the function equation in sequence notation?

User J Cena
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2 Answers

3 votes
15 * 4^1 = 60
15*4^2 = 240
15*4^3 = 960
15*4^4 = 3840

the function is w = 15(4)^t
User Parserr
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3 votes

Answer:

Required exponential function is
w(t)=15(4)^t

Explanation:

The ordered pairs {(1, 60), (2, 240), (3, 960), (4, 3840)} model an exponential function.

where w is the function name and t is the input variable.

Ordered pair: (t,w)


\text{Exponential function: }w=ab^t


\text{For (1,60) }\rightarrow 60=a\cdot b^1..........(1)


\text{For (2,240) }\rightarrow 240=a\cdot b^2..........(2)

Divide (2) by (1)


(240)/(60)=(ab^2)/(ab)\Rightarrow 4=b

Substitute b=4 into eq(1)

60=4a

a=15

Thus, Required exponential function is
w(t)=15(4)^t


User Wren
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