Answer
$
y=20+11 x
$
$y= 20(1.303)^x$
Work Step by Step
First find the slope of the linear function.
$$
\text {m }=\frac{\Delta y}{\Delta x}=\frac{75-20}{5-0}=11
$$
The graph shows that the y intercept is 20. Therefore:
$$
\begin{aligned}
& y=20+11x .
\end{aligned}
$$
The graph shows that the y intercept is also 20 for the exponential function, $a= 20$.We now have $y= 20(b)^x$. Use the point (5,75) to find the value of $b$.
$$
\begin{aligned}
75 & =20(a)^5 \\
3.75 & =a^5 \\
a & =(3.75)^{1 / 5}=1.303
\end{aligned}
$$
Hence,
$y= 20(1.303)^x$
