Which equation represents an exponential function that passes through the point (2, 36)?

Mathematics

2 answers:

WINSTONCH [101]3 years ago

7 0

Answer:

o f(x)=6(3)

Step-by-step explanation:

f=2×18

f=36

Zepler [3.9K]3 years ago

6 0

Answer: It would be the first equation because:

Step-by-step explanation:

In order to be an exponential function, the X

variable has to be in the exponent, that eliminates

the second and fourth answers

f(X) = 4(3)X

using the point (2,36)

f(2) = 4 (3)2

= 4 (9 )

= 36

You might be interested in

In 2005, the population of a town was 17,500. Suppose the population grows exponentially at a rate of 3% per year. Write an equa

Alina [70]

Answer:

The expression is: $p(x) = 17500*(1.03)^x$

Step-by-step explanation:

Since we're starting our count in 2005, then let's call that year 0 and every year after that will be 2005 + x, where t grows from 0 as an integer.

In 2005 the population is:

$p(0) = 17500$

In 2006 the population is:

$p(1) = 17500*(1 + \frac{3}{100}) = 17500*(1.03)$

In 2007 the population is:

$p(2) = p(1)*(1.03) = 17500*(1.03)*(1.03) = 17500*(1.03)^2$

In 2008 the population is:

$p(3) = p(2)*(1.03) = 17500*(1.03)^2*(1.03) = 17500*(1.03)^3$

We can notice a pattern that the population pf the city is equal to the number of the starting population multiplied by the rate of change powered by the number of years after 2005. Therefore a generic expression for the population of that town can be written as:

$p(x) = 17500*(1.03)^x$

3 0

3 years ago

a vet borrows $12,000 for 4 years. The total interest paid was $875. what was the interest rate on the loan

Law Incorporation [45]

$2,125. I hope I helped.

7 0

3 years ago

PLEASE HELP (15 POINTS) What is the slope of the graph shown below. A. -2 B. 2 C. -5 D. 5

baherus [9]

The slope is -5. Find two lattice points (points with integer coordinates) and find (y1-y2)/(x1-x2) with the two points being (x1,y1) and (x2,y2). The equation would be $\frac{3--2}{-1-0}$ , or -5.