MATHEMATICS MIDDLE SCHOOL

Which of the following exponential functions goes through the points (1, 6) and (2, 12)?f(x) = 3(2)x
f(x) = 2(3)x
f(x) = 3(2)−x
f(x) = 2(3)−x

Answers

Answer 1

Answer:

Answer

$f(x)=3(2)^x$

Explanation

To solve this, we re using the standard exponential equation: $f(x)=ab^x$

Also, remember that $f(x)=y$

We know that our exponential function goes through the points (1, 6) and (2, 12), so we are going to replace the points in our stander exponential equation and solve for $a$ and $b$ :

For (1, 6)

$x=1$ and $y/f(x)=6$ , so:

$f(x)=ab^x$

$6=ab^1$

$6=ab$

$a=(6)/(b)$ equation (1)

For (2, 12)

$x=2$ and $y/f(x)=12$ , so:

$f(x)=ab^x$

$12=ab^2$ equation (2)

Replace equation (1) in equation (2) and solve for b

$12=ab^2$

$12=((6)/(b)) b^2$

$12=6b$

$b=(12)/(6)$

$b=2$ equation (3)

Replace equation (3) in equation (1) to find a

$a=(6)/(b)$

$a=(6)/(2)$

$a=3$

Now we can complete our exponential function:

$f(x)=ab^x$

$f(x)=3(2)^x$

We can conclude that the exponential function that goes through the points (1, 6) and (2, 12) is $f(x)=3(2)^x$

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Answers

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What is Acceleration?

When a point or an object moving in a straight line , the acceleration is the rate at which velocity changes with time, in terms of both speed and direction.

Here, given that,

A car is moving at a constant acceleration of 7.0 m/s/s

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Hence, 28 m/s is the velocity , when it is going after 4.0 seconds.

To learn more on Acceleration click:

brainly.com/question/2303856

#SPJ2

28 m/s. 7 x 4 hope this helps:)

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Answers

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Answers

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Answers

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