Question

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

x
y
1
5
2
25
3
125
4
625
5
3,125

square root
linear
exponential
quadratic

Answer 1

Option C is correct.

The kind of growth model is shown in the table is exponential

Explanation:

Exponential growth function is in the form of : ......[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;

......[2]

......[3]

Divide equation [3] by [2] we have;

Simplify:

Now substitute this value in equation [2] we get;

Divide both sides by 5 we get;

Simplify:

1=a or a = 1

Therefore, the table shown the exponential growth function y=5^x