All categories

2 years ago

Do the data in the table represent a direct variation or inverse variation? Write an equation to model the data in the table?

1 answer:

5 0

Based on the given data; the table represent an inverse variation and the equation that model the data in the table is y = 8/x

<h3>Variation</h3>

Direct variation

y = k × x

4 = k × 2

4 = 2k

k = 4/2

k = 2

when y = 2 and x = 4

y = k × x

= 2 × 4

y = 8

Indirect variation

y = k/x

4 = k / 2

8 = k

when y = 2 and x = 4

y = k/x

2 = k/4

2 × 4 = k

k = 8

So,

y = k/x

y = 8/x

Learn more about variation:

brainly.com/question/6499629

#SPJ1

You might be interested in

Please help me :)<br><br><br> ty ty

ikadub [295]

Answer:

the slope is stepper and the line is shifted up

4 0

2 years ago

Sequences of Transformations

kipiarov [429]

The answer is 3 because flipped it’s the same but then cutting it in half is 3

4 0

3 years ago

Read 2 more answers

If a football team has a 90% chance of making a field goal for 3 points and a 35% chance of making a touchdown for 7 points, fin

sertanlavr [38]

Answer:

(35/100)×7

24.5

*****25.*****

5 0

3 years ago

Darcy bought 1 2 pound of cheese and 5 6 pound of hamburger for a barbecue. Use the numbers to compare the amounts of cheese and

Zepler [3.9K]

Answer:

Darcy bought more Hamburgers than Cheese
1/2 pound of cheese < 5/6 pounds of Hamburgers

Step-by-step explanation:

Darcy bought 1/2 pounds of cheese and 5/6 pounds of hamburgers.

Convert these to decimals to be sure which is larger:

= 1/2 = 5/6

= 0.5 pounds = 0.83 pounds

The hamburgers are therefore more so the comparison would look like:

1/2 pound of cheese < 5/6 pounds of hamburgers

8 0

2 years ago

Given a rectangular pyramid and a rectangular prism that have the same base and same height, how do their volumes compare? If th

Evgen [1.6K]

Answer:

Part 1) The volume of the prism is 3 times greater than the volume of the pyramid

Part 2) The prism would fill only one-third

Part 3) The cylinder and the cone

Step-by-step explanation:

Part 1) How do their volumes compare?

we know that

The volume of a rectangular prism is equal to

$Vprism=BH$

where

B is the area of the base of rectangular prism

H is the height of the prism

The volume of a rectangular pyramid is equal to

$Vpyramid=\frac{1}{3}BH$

where

B is the area of the base of rectangular pyramid

H is the height of the pyramid

Compare the volumes

$Vprism=BH$ -----> equation A

$Vpyramid=\frac{1}{3}BH$ -----> equation B

substitute equation A in equation B

$Vpyramid=\frac{1}{3}Vprism$

$Vprism=(3)Vpyramid$

The volume of the prism is 3 times greater than the volume of the pyramid

Part 2) If the pyramid was full of water, how much of the prism would it fill up?

Remember that

$Vpyramid=\frac{1}{3}Vprism$

therefore

The prism would fill only one-third

Part 3) Name another pair of three-dimensional objects that have a relationship similar to this

we have the cylinder and the cone

The volume of the cylinder is equal to

$Vcylinder=\pi r^{2}h$

The volume of the cone is equal to

$Vcone=\frac{1}{3}\pi r^{2}h$

Compare the volumes

$Vcylinder=(3)Vcone$

The volume of the cylinder is 3 times greater than the volume of the cone

3 0

3 years ago