Question

Which equation represents an exponential function that passes through the point (2,80)

Answer 1

Answer:

D

Step-by-step explanation:

The point (2,80) has the input value x = 2.

Substitute x = 2 into each function.

$f(x) = 5 (4^x)\\f(2) = 5(4^2)\\f(2) = 5 *16\\f(2) = 80$

Answer 2

Answer:

The correct option is D). $f(x)=5(4)^{x}$

Step-by-step explanation:

Consider the provided statement:

We need to find the exponential function that passes through the point (2,80),

Now consider the provided option:

The equation $f(x)=4(x)^{5}$ and $f(x)=5(x)^{4}$ are not exponential function. Thus, these two options are wrong.

It is given that the exponential function passes through the point (2,80),

Substitute x = 2 in $f(x)=4(5)^{x}$.

$f(2)=4(5)^{2}$

$f(2)=4(25)$

$f(2)=100$

Therefore, this function doesn't passes through the point (2,80).

Substitute x = 2 in $f(x)=5(4)^{x}$.

$f(2)=5(4)^{2}$

$f(2)=5(16)$

$f(2)=80$

Hence, the correct option is D). $f(x)=5(4)^{x}$.