Terms
Proportional Equations
Proportional vs. Nonproportional
100
Two quantities are __________ if they have a constant ratio between them.
Proportional
100
Describe what an equation that represents a proportional relationship looks like.
y = ___x y = kx y = mx
100
What is the ratio of the following relationship and is it proportional? For one sandwich is cost $5.75, for 3 it cost $17.25, and for 6 it cost $34.50.
5.75/1 Yes
200
A ratio that compares two quantities with different kinds of units is called a __________.
rate
200
Is y = 8x + 2 proportional?
No
200
What is the ratio of the following proportional relationship? AND What is the Constant of Proportionality? The amount of money earned for 2 hours is $15.00 and for 3 hours is $22.50.
7.5/1 7.5
300
Nonproportional
When two related quantities do not have a constant ratio.
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 $102.00
300
Which is the independent and which is the dependent variable?
x-independent y-dependendent
400
Unit Rate Definition
When a rate is simplified so it has a denominator of 1 unit. y/x
400
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 The cost of admittance for one person.
400
June has $120.00 in her checking account and she makes a $50.00 deposit in it each week. How much would she have in her account after making a deposit for 3 weeks? AND Is the relationship proportional? Give at least one reason.
$270.00 No. The ratios are not constant. The graph would not start at 0. The equation would not be in y = __x form.
500
How do you determine if there is a Constant of Proportionality? AND How do you find the Constant of Proportionality?
If two quantities are proportional. The constant ratio between them is the CoP as a whole number with no labels.
500
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 $29.45
500
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 yes, what is the constant of proportionality?
Yes 2.99
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