Question

What kind of growth model (pattern) is shown in the table?

Answer 1

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, $y = 5^x$

Answer 2

It is showing exponential growth in the graph