We appreciate your visit to An exponential function of the form tex y a b x tex passes through the points 0 8 and 5 72 Which of the following. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
Answer:
Step-by-step explanation:
An exponential function is written as
[tex]y=a(b)^x[/tex]
where a is the y-intercept
b is the factor of growth
Here, the y intercept is 8 since the point (0,8) indicates when x=0, the function is equal to 8.
So a=8
[tex]y=8(b)^x[/tex]
To find b, we will use a little of algebraic manipulation
We know that
[tex]72=8(b)^5\\9=b^5\\9^{1/5} =b\\[/tex]
Which is close to 1.55
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Rewritten by : Barada
72 = 8b^5
B^5 = 72/8 = 9
Ln b^5 = Ln 9
5 Ln b = Ln 9
Ln b = ln 9 / 5
B = 1.5518
= 1.55
B^5 = 72/8 = 9
Ln b^5 = Ln 9
5 Ln b = Ln 9
Ln b = ln 9 / 5
B = 1.5518
= 1.55
