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olchik [2.2K]
4 years ago
15

How do you identify the slope and y intercept with the equation y =2x

Mathematics
1 answer:
maxonik [38]4 years ago
3 0

The slope will be the one next to the variable which in this case is (x) so the slope is 2 and the y-intercept is the + added to the equation in this equation there is none.

Slope= 2

Y-Intercept= None

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3 years ago
The table represents an exponential function.
MArishka [77]

<u>Question Correction</u>

The table represents an exponential function. What is the multiplicative rate of change of the  function?

(A)1/3 (B)2/3 (C)2 (D)9

\left|\begin{array}{c|c}x&y\\--&--\\1&9\\2&6\\3&4\\4&\dfrac83\\\\5&\dfrac{16}{9}\end{array}\right|

Answer:

(B)  \dfrac{2}{3}

Step-by-step explanation:

An exponential function is a function of the form

y= a (b)^{x}

where a is the initial value and b is the multiplicative rate of change

When  x=2, y=6, we have:

6= a (b)^{2}

When  x=3, y=4, we have:

4= a (b)^{3}

Dividing the two equations:

\dfrac{a (b)^{3}}{a (b)^{2}} =\dfrac{6}{9} \\b=\dfrac{6}{9}\\b=\dfrac{2}{3}

The multiplicative rate of change, b is \dfrac{2}{3}.

The correct option is B.

7 0
3 years ago
Which table shows y as DIRECTLY PROPORTIONAL to x
Furkat [3]

Answer:

Table B

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form y/x=k or y=kx

<em>Verify table B</em>

For x=1, y=1/2 -----> k=y/x=(1/2)/1=1/2

For x=2, y=1 -----> k=y/x=1/2

For x=3, y=3/2 -----> k=y/x=(3/2)/3=1/2

For x=4, y=2 -----> k=y/x=2/4=1/2

The values of k are the same

therefore

The table B shows y as DIRECTLY PROPORTIONAL to x

<em>Verify table D</em>

For x=1, y=3 -----> k=y/x=3/1=3

For x=2, y=5 -----> k=y/x=5/2=2.5

For x=3, y=7 -----> k=y/x=7/3

For x=4, y=9 -----> k=y/x=9/4

the values of k are different

therefore

The table D not shows y as DIRECTLY PROPORTIONAL to x

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The answer is 6c=2.75 hope this helps
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