i need help with my homewrok PLEASE CHECK WORK number 4

SOLUTION
Given the question in the image, the following are the solution steps to answer the question.
STEP 1: Draw the given table
STEP 2: Find the equation that best models the table
Using the function below:
[tex]94(2.41)^{0.28x}[/tex]When x = 5:
[tex]\begin{gathered} S=94(2.41)^{0.28\times5} \\ S=94(2.41)^{1.4} \\ S=94\times3.426287956 \\ S=322.0710678 \\ S\approx322 \end{gathered}[/tex]Hence, the best equation that models these data is:
[tex]S=94(2.41)^{0.28x}[/tex]OPTION C