Unit 2 Proportional Relationships- Ms. Sarsour-WCMS

Random Mix

100

C = 7 t

Write this equation in a different way using the OTHER constant of proportionality

t= 1/7 C

200

Two lines are on a graph representing the cost of cotton vs the cost of silk . The silk line is steeper and closer to the Y-axis than the cotton line. Which one is more expensive?

Silk

300

33 lbs of apples cost $132. How many lbs of apples can you get with $16 ?

4

400

How do you find  a Constant of Proportionality given a point (x, y)?

y/x= COP

500

Mary and Joe are collecting food for the drive. 

Joe collects 27 lbs of food every 3 weeks. Mary uses an equation to show what she collects. 

y = 8.5x

 Where x is the number of weeks and y is total number of lbs that she collects after x number of weeks. 

Joe collected more at 9 lbs per week while mary collected 8.5 lbs per week

Equations

100

What is the constant of proportionality 

y=3x

3

200

Is this equation proportional 

0.5x+2=y

No, you cannot have an added quantity, the relationship will not be proportional.

300

Write an equation for the proportional relationship. (1, 1.25) (2, 2.5) (3, 3.75) (4, 5) (5, 6.25)

Hint:

What are we multiplying the x by each time to get the y?

y=1.25x

400

Identify the constant of proportionality for the relationship represented in the equation y = 9/5x. Write the equation in another way.

Hint: Use the reciprocals

9/5. 

x= 5/9y

500

A ferris wheel can accommodate 40 people in 15 minutes. How many people could ride the ferris wheel in 6 hours? 

960 people

Tables

100

Is this relationship proportional? If so what is the constant of proportionality?

Yes, 1.25

200

Is the relationship between T-shirts and cost proportional? If so, what is the COP?

T-Shirts                   Cost

    1                           8

    2                          10

    3                          16

No 

2 T-shirts Must cost 16 dollars!

300

Is the relationship between Height and distance proportional? If so, what is the COP?

Distance                Height

    2                          6

    3                          9

    5                         15

Yes, The COP would be 3

400

Water is being filled in a tank. Is the relationship between time and gallons of water proportional? If so, what is the COP?

  Time                    Gallons

    1                           1

    2                           3

    5                           0

NO, two reasons. It does not go through the origin and 1/1 is not the same as 3/2.

500

Is the relationship between Speed and distance proportional? If so, what is the COP?

SPEED                  DISTANCE

    0                          1

    2                          4

    4                          8

No, It will not go through the origin. It is (0,1) where it should be (0,0)

Word ProblemsMUST DEFINE VARIABLES

100

For one sandwich is cost $5.75, for 3 it cost $17.25, and for 6 it cost $34.50. Is this relationship proportional? If so what is the constant of proportionality?

Yes it is proportional

COP is 5.75 

200

It costs $8.97 for 3 packages of turkey, $17.93 for 6 packages, and $26.91 for 9 packages. Is the relationship proportional? If so, what is the constant of proportionality, and what does it represent?

Yes,  2.99 which would be the cost per package of Turkey

300

Jake is selling boxes candy bars to raise money for his baseball team. He makes $6 for each box of candy bars he sells. Write an equation to represent the situation. AND How much would Jake make if he sold 17 boxes?

y = 6x  where x is the number of boxes and y is the money raised.

$102.00

400

George and Lucy rode the bus and it cost them $11.78. Write an equation to represent this situation. AND How much would it cost for 5 people to ride the bus?

y = 5.89x  where y is the cost and x is the number of people.

It would cost 5 people $29.45

500

Rachel's family of 4 went to the zoo and it cost them $52.00 for admittance. What is the Constant of Proportionality? AND What does it represent?

$13, it represents The cost of admittance for one person.

Graphs

100

When we are trying to decide if a graph is proportional we look for two things. They are.....

Straight line

Goes through the origin at (0,0)

200

A graph has the following lines plotted (18, 6) (15, 5) (12, 4) (9, 3) (6, 2) (3, 1). Is it proportional? If so what is the constant of proportionality. 

1/3

300

Is this graph proportional? If so, what is the constant of proportionality?

1.5

400

Is the graph proportional? If so, what is the constant of proportionality?

yes, 4.

500

Which options represent proportional relationships and why?

From the PROPORTIONAL ONES Which Option is the most expensive ?

Option B is not proportional because it does not go through the origin and option A is more expensive than Option B.