graphing proportional relationships
equations of proportional relationships
identifying proportional relationships
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Review
100

what coordinate point is the origin?

0,0

100

Is this equation proportional? y= 3x

If so what is the constant of proportionality? (K)

Yes

k=3

100

Are these ratios proportional?

5/(15)and6/(18)

Yes 

100

How do you calculate the Constant of Proportionality?

y/x

100

Elijah is designing his garden. For every 3 pink tulips, he plans to plant 4 red roses. Using only these two types of flowers, he plans to plant 20 roses in his garden. How many tulips will Elijah use?

15

200

When you do

y/(x)

, what are you finding?

the unit rate, K, or Constant of Proportionality

200

Is y= 4x + 10 proportional? If so what is the constant of proportionality?  

Not proportional 

200

Is the graph a proportional relationship? Why?

NO 

Does not go through the origin

200

Solve 


n=3.8

200

Isabella is buying candy bars for 3 of her friends, costing her a total of $3.15. What is the constant of proportionality (aka: unit rate) in this situation?

$1.05

300

what are the 2 ways to tell if a graph is proportional

if the line is straight 

goes through the origin

300

The Anderson family was taking a road trip. They traveled 392 miles in 7 hours. Write an equation relating their miles traveled, y, and the number of hours, x.

y = 56x

300

Is the table proportional? 


No


300

Given the table is proportional, find the constant of proportionality. 


K = 13

300

Morgan pays $1.25 for a soda for each of her friends. If she is buying soda for 4 friends, how much will she spend?

What is $5

400

Is this graph proportional? 


YES

400

Using this graph, What is the equation?

y= 1/6x 

400

Is the table proportional? 


Yes it is proportional 

400

John reads 6 pages in 12 minutes. How long does it take him to read a whole page?

2 minutes

400

Given a square with side length of 9.5 inches, what is the area in square centimeters, rounded to the nearest tenth? Use 1 inch = 2.54 centimeters. 

582.3 centimeters

500

If a graph goes through the origin, and passes through (3, 15), what is the constant of proportionality?

k = 5

500

Write an equation for the table given the table is proportional. 



y=3/(2)x

500


a) yes


500


8.75 hours

500

Carpet Max advertises that they can install 1,260 square feet of carpet in 2 1/4 hours. They charge $40 per hour for a special install of 3,360 square feet. How much will they charge?

$240