Answer:
Option C is correct.
The kind of growth model is shown in the table is exponential
Step-by-step explanation:
Exponential growth function is in the form of : \(y = ab^x\) ......[1]; where a is the initial value and b> 0.
Consider any two point from the table:
(1 , 5) and ( 2 , 25)
Substitute these in the equation [1] we get;
\(5 = ab^1\) ......[2]
\(25 = ab^2\) ......[3]
Divide equation [3] by [2] we have;
\(\frac{25}{5} = \frac{ab^2}{ab}\)
Simplify:
\(5 = b\)
Now substitute this value in equation [2] we get;
\(5 = a \times 5\)
Divide both sides by 5 we get;
\(\frac{5}{5} = \frac{5a}{5}\)
Simplify:
1=a or a = 1
Therefore, the table shown the exponential growth function is, \(y = 5^x\)
