Answer:
a = 7000
b = 1/10
Step-by-step explanation:
An exponential function is of the form:

The given points:
(0, 7000) and (3, 7)
Form two equations and solve for a and b

Substitute x₁ = 0, f(x₁) = 7000, x₂ = 3, f(x₂) = 7 into the two equations

Substitute x₂ = 3, f(x₂) = 7, and a = 7000 into equation (2)
![\begin{gathered} 7=7000b^3 \\ \\ (7)/(7000)=b^3 \\ \\ (1)/(1000)=b^3 \\ \\ b=\sqrt[3]{(1)/(1000)} \\ \\ b=(1)/(10) \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/zi0fnb2nlr4oansgj2i07ik148fykwzmye.png)
a = 7000
b = 1/10