Find the constant of variation for the relationship shown in the following table:x 1 2 3 4
y 5 10 15 20

A.
1

B.
2

C.
3

D.
5

Answers

Answer 1
Answer:

Answer:

Option D - 5

Step-by-step explanation:

Given : Table

x 1 2 3 4

y 5 10 15 20

To find : The constant of variation for the relationship shown in the following table?

Solution :

The constant of variation means the relationship between variables does not change.

The constant of variation for an equation is k=(y)/(x), where k is the constant of variation.

Now, We have given the value of x and y substitute in the formula,

x=1,y=5

k=(5)/(1)=5

x=2,y=10

k=(10)/(2)=5

x=3,y=15

k=(15)/(3)=5

x=4,y=20

k=(20)/(4)=5

Therefore, The constant of variation is 5.

So, Option D is correct.

Answer 2
Answer: The answer is D.

Formula: k = y/x

5/1 = 5
10/2 = 5
15/3 = 5
20/4 = 5 

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Answers

Answer:

slope = 1 and y intercept is (0,3)

Step-by-step explanation:

This equation is in the form y= mx+b where m is the slope and b is the y intercept

y =1x +3

The slope is 1 and the y intercept is 3

slope = 1 and y intercept is (0,3)

A person on a moving sidewalk travels 21 feet in 7 seconds. the moving sidewalk has a length of 180 feet. How long will it take to move from one end to the other

Answers

It will take 60 seconds to move one end to the other.

What is speed?

The distance that an object travels in relation to the amount of time it takes to do so can be used to define speed. In other terms, it is a measurement of an object's motion's speed without direction Velocities are what we get when speed and direction are combined.

Given the speed of a person = 21 feet in 7 seconds

speed in per second = 21/7 = 3 feet per second

distance of sidewalk = 180 feet

speed = distance/time

time = distance/speed

time = 180/3

time = 60 seconds

Hence it will take 60 seconds to cover the distance.

Learn more about speed;

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divide 180 by 21. then multiply the ans. by 7 which equals 60

What is the value of x in the figure? Enter your answer in the box.
HELP IMMEDIATELY!

Answers

Answer:

Step-by-step explanation:

145 = 2x + 15

2x = 130

x = 65 (ANS)

Answer:

65º

Step-by-step explanation:

145º = (2x + 15)º

145º = (2x + 15)º

145º - 15º = 2xº + 15º - 15º

130º = (2x)º

x = 65º

14 ounce energy drink contains 10 1/2 teaspoons of sugar. How much sugar is in one ounce of the drink?

Answers

Answer:

(3)/(4) sugar is in one ounce of the drink.

Step-by-step explanation:

Unit rate is defined as the rate are expressed as a quantity as 1 such as 3 meter per second or 4 miles per hour.

As per the statement:

A 14 ounce energy drink contains 10 1/2 =(21)/(2) teaspoons of sugar.

We have to find how much sugar is in one ounce of the drink.

By unit rate definition we have;

\text{Unit rate per ounce} = ((21)/(2))/(14) = (21)/(2 \cdot 14)

\text{Unit rate per ounce} = (21)/(28) = (3)/(4)

Therefore, (3)/(4) sugar is in one ounce of the drink

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Help fast What is the area of the trapezoid? [A = 1 /2 (b1 + b2)h] A 1249.5 B162.75 C 105 D 38.75

Answers

Answer:

C

Step-by-step explanation:

What you do is based off the formula. a=1/2(24+18)5=105. C is your answer.

Answer:

area = b1+b2/2 *h

let b1 +24

let b2 = 18

H =5

24+18/2 *5

Area = 105

Step-by-step explanation:

Is 2p=1/4p proportional ??

Answers

Answer:

It's non-proportional

Step-by-step explanation: