Mathematics, 28.01.2020 19:10 cruz63

Which description matches the function represented by the values of the table

Answers: 3

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Answer from: kinziemadison12

It is an exponential growth

Therefore, option C is correct.

Step-by-step explanation:

The given function is increasing hence, it can not be decay

So, option A and D are incorrect being decay.

Now, the given function is:

taking two points

(1,14) and (2,56)

y=ab

14=ab (1)

And 56=ab^2 (2)

Divide 2 by 1 we get:

4=b

Hence, $a=\frac{y}{b}$

Now, taking point (1,14)

$a=\frac{14}{4}=\frac{7}{2}$

So, the function is:

$y=\frac{7}{2}\cdot 4^x$

Hence, it is an exponential growth

Therefore, option C is correct.

Answer from: mrashrafkotkaat

The function is y=3.5(4)^x and is an exponential growth model.

Step-by-step explanation:

Given : The data representing a function.

We have to choose the correct option from the given options that describes the values in the given table.

Consider the given table,

114

256

3224

4896

53584

Since, The value of y is increasing with increasing value of x.

So, It is a growth function.

Also, The function for exponential growth is represented by function.

y=cb^x

Let us consider any two points out of given points (2,56) and (3,224)

Then

56=cb^2 and 224=cb^3

Divide both equations, we have,

$\frac{224}{56}=\frac{cb^3}{cb^2}$

Simplify, we have,

b = 4

Now substitute value of b in any of equation

56=c(4)^2=16c

Divide both side by 16 , we have,

c = 3.5

Thus, The function is y=3.5(4)^x and hence, is an exponential growth model.

Answer from: Quest

a. the are of the rectangle is 18.25

b. 18.25 times two is 36.50

rae me : d

Answer from: Quest

-3

step-by-step explanation:

a drawing really does here:

so i draw the horizontal line y=2 and the vertical line x=-2 at this intersection i put b (this is where my right angle is going to be). so point b is at (-2,2). point a is 5 units long and is also on y=2 so this point has to be (3,2) or (-7,2) -doesn't matter i will go with (3,2).

now we know c is at (-2,y) we don't know the y yet bet we know that c is on x=-2.

we have the area of the triangle is .5bh=12.5

we know the base length is 5 (ab)

we have the height is (2-y) if you look at your

plug in

.5(5)(2-y)=12.5

solve for y to get the y-coordinate for c

2.5(2-y)=12.5

divide both sides by 2.5 giving:

2-y=5

now subtract 2 on both sides

-y=3

y=-3

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