All categories

3 years ago

Is this linear relationship a direct variation?

1 answer:

5 0

Since the ratio of of second variable to the ratio of first variable remains constant i.e y/x =8 so, the linear relationship is direct variation.

Step-by-step explanation:

A relationship is said to have direct variation if ratio of second variable to the ratio of first variable remains constant.

A relationship is direct variation if $y=kx\,\,or\,\, \frac{y}{x} =k$ where k is the constant.

Now checking if the given data is having direct variation or not.

x y

3 24

4 32

5 40

6 48

Now finding y/x

if y=24 and x = 3 then y/x = 24/3 = 8

if y=32 and x = 4 then y/x =32/4=8

if y=40 and x = 5 then y/x =40/5 =8

if y=48 and x = 6 then y/x =48/6= 8

Since the ratio of of second variable to the ratio of first variable remains constant i.e y/x =8 so, the linear relationship is direct variation.

Keywords: Direct Variation

Learn more about Direct Variation at:

#learnwithBrainly

You might be interested in

How to write 32,005,008 in two forms

Marianna [84]

In words: thirty two million, five thousand and eightin
expanded notation: 30 000 000 + 2 000 000 + +0 + 0 + 5000 + 0 + 0 + 8

7 0

3 years ago

Someone plz help me with this

ohaa [14]

Answer:

2.20 y axis 2years T x axis is the answer

6 0

3 years ago

**PLEASE HURRY**

QveST [7]

<h2>For this example I am going to use Cape Coral-Fort Myers Florida which was the fastest growing city of 2017. </h2><h2>As of January of 2000, the population of the city was 102,286, and as of January 1 of 2010, the population was 154,305; therefore, I'm going to examine a population growth over a period of 10 years. </h2><h2>I am going to use the standard model for population growth: </h2><h2> </h2><h2>Where: </h2><h2>= time (in years) </h2><h2>= growth rate </h2><h2>= initial population </h2><h2>= population after a time </h2><h2> </h2><h2>Now, I'm going to replace the values in the equation to get : </h2><h2> </h2><h2> </h2><h2> </h2><h2> </h2><h2> </h2><h2> </h2><h2>Finally, I will multiply x by 100% to obtain 4% which the growing rate of Cape Coral-Fort Myers from 2000 to 2010.</h2>

7 0

2 years ago

What is the area of rhombus ABCD?<br><br> Do not round at any steps

Tasya [4]

Do you happen to know the answer?

Please?

6 0

2 years ago

Read 2 more answers

Trapezoid ABCD is congruent to trapezoid A′′B′′C′′D′′ .

IgorC [24]

Answer:

It's B). Trapezoid ABCD was reflected across the y-axis and then translated 7 units up.

Step-by-step explanation:

just took the test

4 0

3 years ago