Constant Proportionality from Tables
Constant of Proportionality from Graphs
Constant of Proportionality from Words
Constant of Proportionality and Equations
Percentages
100
Drew paints portraits. Find the constant of proportionality if it is a proportional relationship
Time (in hours) = x Number of portraits = y
1 5
2 10
3 15
4 20
5 portraits per hour
100
Find the constant of proportionality and what does it mean?
46 miles per hour
100
Morgan bought 24 batteries packed in 6 equal packs. What is the unit rate per pack?
4 batteries per pack
100
Find the constant of proportionality: y = 7x
k = 7
100
Abigail is going to AT&T to get a new phone. She purchases a phone for $890, and a start up fee of $35. How much TAX will Abigail pay if there is an 8% tax on all new phones and start up fees?
$74 on tax
200
The table shows the amount earned by Harry for selling ice cream. Find k and explain what it means.
Cups Sold = x 3 5 7 9
Earnings ($) = y 12 20 28 36
CoP = 4
200
What is the equation for this relationship?
y=1.2x
200
Julie brought 1/3 pounds of cans to a recycling place and was paid $22. Find the constant of proportionality (cost per pound)?
$66 per pound
200
Explain if this equation is proportional:
y = 8 + x
No -- you can't have addition or subtraction signs.
200
The Easter Bunny has to travel 350 miles. This year, he has to travel 12% more. How many miles will he travel this year?
392 miles
300
Fred wrote notes during an exam. Find the CoP (with correct units) if it is a proportional relationship.
Notes (pages) 8 9 10 11
Time (in hours) 18 19 20 21
It is not proportional, there is no CoP.
300
How would you write the constant of proportionality as an ordered pair?
( 1 , 5 )
300
To make juice, Michael combines 4 liters of water and 12 scoops of juice mix. How many scoops does Michael need with 9 liters of water?
27 scoops
300
Lia earns $39 for 3 hours of babysitting. There is a proportional relationship between the number of hours lia babysits, x, and the total amount of money she earns, y. What is the proportional relationsip equation?
y=13x
300
Ms. Heard and her band are performing at a local restaurant. They earn $1,200 for the night. Mrs. Heard will earn a 15% of this total. How many times would she have to perform to earn $1,440?
She will play for 8 times to earn $1,440.
400
A ferry transports bikes to an island. Write the equation.
Number of bikes (x) 10 12 14
Number of trips (y) 5 6 7
y=0.5x
400
What does point (2 , 6) on the graph?
6 gallons of water in 2 mins
400
Zachary's time machine needs 14 megawatts of electricity to travel back 7 years. How many megawatts does Zachary need to travel back 15 years?
30 megawatts
400
William has a farm of hens. The number of eggs laid by the hens can be determined by the equation E=3h, where E is the number of eggs and h is the number of hens. Use the equation to find how many eggs can 27 hens lay.
81 EGGS
400
Lily is practicing basketball. She shot a total of 25 times. If she made 12 of them, what percentage did she make?
She earned 48%.
500
Alice bought comics. Find the k (CoP with correct units) if the table shows a proportional relationship.
Number of comics 2 4 6
Price (dollars) 6 12 18
k = 3 dollars per comic
500
Abigail says this is non proportional because it does not have all the dots labeled. Do you agree or didsagree?
Disagree -- the graph is straight and through the origin.
500
Jasmine bought 32 kiwi fruit for $16 Tuesday and 8 kiwi fruit for $3.50 Friday. Is this a proportional relationship? Explain your reasoning.
This is non proportional because the kiwi does not always cost the same amount.
500
In a pizza shop, the number of pizzas prepared can be determined by the equation P=0.30c. Where P is the number of pizzas and c is the number of cups of cheese used. Use the equation to find how many cups of cheese is used to make 39 pizzas.
130 cups of cheese
500
Jake is practicing the piano. On Monday he practices for 10 minutes, Tuesday for 12 minutes, and Wednesday for 8 minutes. On Thursday, he practices for 30% more than all the other days combined. How long did he practice on Thursday?
10+12+8 = 30 minutes
30*0.3 = 9 + 30 = 39 minutes
He will practice a total of 39 minutes on Thursday.