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gladu [14]
3 years ago
14

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)}{(1, 60), (2, 240), (3, 960), (4, 3840)} What is the function equation in sequence notation? Enter your answer in the box.
Mathematics
2 answers:
kompoz [17]3 years ago
7 0
Hello there.
<span>
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)}{(1, 60), (2, 240), (3, 960), (4, 3840)} What is the function equation in sequence notation? Enter your answer in the box.
</span>
w = 15 (4^t)
alexandr1967 [171]3 years ago
3 0
We are given the set of points
<span>{(1, 60), (2, 240), (3, 960), (4, 3840)}{(1, 60), (2, 240), (3, 960), (4, 3840)} 
If w is the function name and t is the input variable, then the equation has the form
w = k a^t
Plugging in any two of the points to solve for k and a
Choosing </span>(1, 60) and (2, 240)<span>
60 = k a
k = 60 / a

240 = k a^2

Substituting
240 = 60/a (a^2)
a = 4
and
k = 60 / 4 = 15

The function is 
w = 15 (4^t)</span>
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