Exponential function given in Option (C). f(x) = 4e⁻⁰°⁰⁵ will be the answer.
Exponential function:
- An exponential function is given by,
[tex]f(x)=ae^{bx}[/tex]
Given in the question,
- Graph of the exponential function passes through two points,
(0, 4) and (27.5, 1)
For (0, 4),
[tex]4=ae^{b\times 0}[/tex]
[tex]a=4[/tex]
For (27.5, 1)
[tex]1=4(e)^{27.5\times b}[/tex]
[tex]e^{27.5b}=0.25[/tex]
[tex]\text{ln}e^{27.5b}=\text{ln}(0.25)[/tex]
27.5b = -1.3863
b = -0.05
Therefore, exponential function will be → [tex]f(x)=4e^{-0.05x}[/tex]
Option (C) will be the answer.
Learn more about the exponential function here,
https://brainly.com/question/11487261?referrer=searchResult
