Answer:
f(3) = 20.10
Step-by-step explanation:
a = starting point/ y-intercept (5)
b = growth factor (?)
To find b:
5b^1.5 = 10
divided 5 on both sides
b^3/2 = 2 (I turned the decimal into a fraction because it's easier)
How can we get b by itself? 3/2 times 2/3 is 1, so it would be b^1 = b. Then apply 2/3 to both sides.
b^3/2*2/3 = 2^2/3
b = 1.59 (growth factor)
Formula: f(x) = 5(1.59)^x
To find f(3):
f(3) = 5(1.59)^3
f(3) = 201.0
In this exercise we have to use the knowledge of the exponential function, in this way we find that:
f(3) = 20.10
Some information given in the exercise statement to resolve the issue were:
[tex]5b^1.5 = 10\\b^3/2 = 2\\b^3/2*2/3 = 2^2/3\\b = 1.59[/tex]
So using the formula, we have:
[tex]f(x) = 5(1.59)^x\\f(3) = 5(1.59)^3\\f(3) = 201.0[/tex]
See more about function at brainly.com/question/5245372
