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100

Is this a proportional relationship?


x: 1   2   3   4

y: 3   6   9   12

yes! C.O.P. = 3

100

What is the generic equation for a proportional relationship?

y = k x

100

How do we write an ordered pair (coordinate)?

(x, y)

100

Selling sugar is a proportional relationship. 1 pound of sugar costs $2.00. What is the C.O.P.?

k = 2
200

Is this a proportional relationship?


x: 0  1  2   3

y: 1  2  3   4

No, does not go through (0,0)

200

What does k represent in y = k x

Constant of proportionality

200

What are the TWO reasons a graph is proportional?

Goes through the origin (0,0)

Straight line

200

Tanya makes $60 in three hours. Assuming this is a proportional relationship, what is the C.O.P.?

60/3 = 20

300

Is this a proportional relationship? If so, what is the C.O.P.? If not, why not?

X:   2    3     4

Y:   10  15   20   

Yes! C.O.P. = 5

300

1 book costs $10. Assuming this is a proportional relationship, what is the equation?

y = 10 x

300

In (3, 4), what is my x value?

3

300

Is this a proportional relationship? Why or why not?

In thirty minutes, Ali has run 4 miles. In forty minutes, he's run 5 miles.

No! 4/30 does not equal 5/40

400

Is this a proportional relationship? If so, what is the C.O.P.? If not, why not?

X: 3   4   5

Y: 6   9   12

No! Constant changes (3x2=6, but 4x2 doesn't equal 9 and 5x2 doesn't equal 12!)

400

Sal makes $25 per hour. We represent that with the equation y = 25x. What does y represent?

$

400

When measuring miles per hour, what is the label for my x-axis (independent variable) and what is the label for my y-axis (dependent variable)?

x: hours

y: miles

400

A standard car might get 50 miles on 2 gallons of gas. What is the C.O.P. and what does it mean in context?

25 miles of gas per ONE gallon of gas

500

Is this a proportional relationship? If so, what is the C.O.P.? If not, why no0t?

X: 3    6      9

Y: 5   10     15

Yes. C.O.P. = 5/3

500
Given the coordinate (2,3) and assuming this is a proportional relationship, what is the equation?

y = 3/2 x

500

Given the equation y = 3 x, what is my y value when x = 4? Aka, fill in the blank: (4, __)

(4, 12)

500

A plumber makes $50 for every house call PLUS $15 per hour that he's working. Is this a proportional relationship? Why or why not?

No-- In one hour he'd have $75, in two hours, he'd have $90. This is not proportional.