Question

WILL GIVE BRAINEST

Answer 1

I think the answer is b bcause is square two

Answer 2

Answer:

The correct option is B.

Step-by-step explanation:

In table A, the function has constant rate of change. For each value of x, the value of y increased by 8.

Since the rate of change of a linear function is constant, therefore table A represents a linear function.

In table B, for each value of x, the value of y is twice of its previous value. In other words we can say that the value of y increases in the same proportion.

$\frac{y_2}{y_1}=\frac{8}{2}=2$

$\frac{y_3}{y_2}=\frac{16}{8}=2$

$\frac{y_4}{y_3}=\frac{32}{16}=2$

$\frac{y_5}{y_4}=\frac{64}{32}=2$

Therefore it is an exponential function with growth factor 2.

$f(x)=a(2)^x$

The function passing through the point (1,4).

$4=a(2)^1$

$2=a$

The exponential function is

$f(x)=2(2)^x$

Thus, option B is correct.

In table C, the function has constant rate of change. For each value of x, the value of y increased by 5.

Since the rate of change of a linear function is constant, therefore table C represents a linear function.

In table D, the function has constant rate of change. For each value of x, the value of y increased by 1.

Since the rate of change of a linear function is constant, therefore table D represents a linear function.