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3 years ago

Find the equation of the exponential function represented by the table below:

Mathematics

1 answer:

Elden [556K]3 years ago

7 0

Answer:

The equation of the exponential function represented by the table will be:

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

Step-by-step explanation:

We know the equation of exponential function such as

$f(x) = ab^{x}$

Put x=0, and y=2 in the function

$2 = ab^{0}$

$2 = a$

Also x=1, and y=8 in the function

$8 = 2b^{1}$

$b=4$

Thus,

$f(x) = ab^{x}$

$= 2(4)^{x}$

Therefore, the equation of the exponential function represented by the table will be:

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

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3 years ago

A Galapagos cactus finch population increases by half every decade. The number of finches is

Angelina_Jolie [31]

Answer:

The number of fringes at $d=-2$ is given as 20.

Step-by-step explanation:

Question

A Galapagos cactus finch population increases by half every decade. The number of finches is modeled by the expression

where d is the number of decades after the population was measured. Evaluate the expression for d = −2

Given :

The number of finches is modeled by the expression :

⇒ $45\cdot1.5^d$

where $d$ is the number of decades after the population was measured.

To evaluate the expression for d=-2

Solution:

In order to evaluate the given expression to find the number of finches at $d=-2$ , we will plugin $-2$ for $d$ in the expression and simplify it.