3-4 Constant of Proportionality

Presentation

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Mathematics

•

7th Grade

•

Practice Problem

•

Medium

•

CCSS

7.RP.A.2C, 7.RP.A.2B, 6.RP.A.3B

Standards-aligned

Jennifer Fernéz

Used 27+ times

FREE Resource

7 Slides • 7 Questions

3-4 Constant of Proportionality

Constant of Proportionality

$y=kx$ Describes the relationship

$k=\frac{y}{x}$ $k$ is the constant of proportionality

NOTICE THE FORM OF THE EQUATIONS.
THERE IS NO ADDING OR SUBTRACTING!

Do these equations represent a proportional relationship? If so, what is k, the constant of proportionality?

1. $y=2x$
2. $y=5x+1$
3. $y-2=6x$
4. $y=-\frac{1}{2}x$

Multiple Choice

Does the equation represent a proportional relationship? If so, represent the constant of proportionality, k. $y=0.5x-2$

Yes; 0.5

Yes; -2

Yes; 2

Multiple Choice

Does the equation represent a proportional relationship? If so, represent the constant of proportionality, k. $y=250x$

Yes; 250

Yes; -250

Yes; x

Multiple Choice

Does the equation represent a proportional relationship? If so, represent the constant of proportionality, k. $y=x+1$

Yes; 1

Yes; -1

Yes; x

Using a table

x | y

--------

10 | 8

--------

15 | 12

Is the relationship proportional?
If so, what is the constant of proportionality?
Write an equation as y=kx

Open Ended

x | y

-----

5 | 8

-----

10 | 16

Is the relationship proportional?
If so, what is k, the constant of proportionality?
Write an equation, y=kx, to describe the relationship.

Type response here

Word Problem

The manager of a concession stand estimates that she needs 5 hot dogs for every 8 people who attend a baseball game. If 1,400 people attend the game, how many hotdogs should the manager order?

Multiple Choice

The store estimates that she needs 7 treats for every 3 cats. If 55 cats are expected, approximately how many treats will the store need?

129 treats

111 treats

105 treats

98 treats

Word Problem

A half dozen cookies cost $12. What constant of proportionality relates the number of cookies and total cost? Write an equation to represent the relationship.

Multiple Choice

A half dozen carton of eggs costs $3. What constant of proportionality relates the relationship between the number of eggs and the total cost? Write an equation to represent the relationship.

y=2x

y=18x

y=0.5x

y=0.2x

Word Problem

Meg's car can travel 114 miles on 4 gallons of gas. If she used 6 gallons of gas, how far did she drive?

Multiple Choice

Lisa's car can travel 145 miles on 5 gallons of gas. If she used 8 gallons of gas, how far did she drive?

195 miles

212 miles

232 miles

306 miles

3-4 Constant of Proportionality

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