MA.7.AR.3.2
What is a ratio?
A ratio is a comparison of two or more quantities, indicating how much of one thing there is compared to another.
I need my 7th grade reference sheet!
If a graph is proportional it __________________.
Has a straight line and goes through the origin.
Constant of proportionality is the constant value of the ratio of two proportional quantities.
4.4
Carmen works as a lifeguard at the local pool. After an 8 hour day at work, she earns $100.
Write an equation that describes the relationship between the number of hours worked and the amount of money that she earns.
m=12.5h
h is the number of hours worked
m is money earned
(I should have started by dividing 100/8=12.50)
Anthony is writing the place cards for his best friends wedding reception. If he can write 12 place cards in 5 minutes, how long will it take him to complete the entire group of 180 place cards?
75 minutes or 1 hour and 25 minutes.
What is the name of the strategy that Mrs. Bennett taught me to use to convert units of measure?
Dimensional Analysis
6-7
How do I solve to determine if a table has a proportional relationship?
Divide Y by X (X multiplied by some number = Y). If all values are the same, it is proportional.
A recipe calls for 4 cups of flour to make 8 cookies. This represents a proportional relationship. What is the constant of proportionality between the number of cups of flour and the number of cookies?
2
4.3
Given the equation y=4x, which of the following points lies on the graph of this proportional relationship?
A. (3, 15)
B. (4, 16)
C. (1, 2)
D. (4, 8)
B. (4, 16)
A recipe requires 3 cups of flour for every 2 cups of sugar. If you want to make a batch using 9 cups of flour, how many cups of sugar do you need?
6 cups of sugar
A car travels 60 miles. How many kilometers does the car travel?
(1 mile = 1.609 kilometers)
9.54 kilometers
A car travels 60 miles in 1 hour, 120 miles in 2 hours, and 180 miles in 3 hours.
Determine if this relationship is proportional.
Yes, it is proportional because the ratio of distance to time is constant.
In the equation Y=pX, which is the constant of proportionality?
A. Y
B. p
C. X
B. p is the constant of proportionality
If yesterday was Tuesday and tomorrow is Thursday, what day are we taking our Unit 1 test?
Tomorrow! (Thursday)
:)
A car travels 150 miles using 5 gallons of gasoline. How many miles can the car travel on 12 gallons of gasoline?
360 miles
What school did Fort Meade High School play football against last Friday?
Mulberry High School
GO MINERS!
True or False:
A graph that has a straight line but does NOT go through the origin IS PROPORTIONAL.
FALSE!
It must go through the origin AND be straight.
To determine the constant of proportionality of a table, I have to divide ____ by _____.
Y by X.
True or False:
Mrs. Bennett is SO proud of how hard you all work and is amazed with your math skills!
TRUE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
<3
What is Mrs. Bennett's favorite season?
SUMMER!!! :)
An aquarium holds 15 gallons of water. How many liters of water does the aquarium hold?
(1 gallon = 3.785 liters)
56.775 Liters
Angela is training for a marathon and completes her long mileage runs for training on the weekend. Over the last 3 weekends she ran 15 miles in 2 hours; 18 miles in 2 hours 33 minutes; and 22 miles in 3 hours 7 minutes. Determine if her weekend training runs showcase a proportional relationship?
No it is not proportional.
True or False:
If a graph has a constant of proportionality it IS proportional.
TRUE!
If a graph has a constant of proportionality it has to be proportional.
4.5
Sandra is planning a road trip from Polk County to a nearby city. She knows that her car consumes gasoline at a rate of 3 gallons per 100 miles. If the nearby city is 250 miles away from Polk County, how many gallons of gasoline will Sandra need for the trip?
7.5 gallons, or 7 1/2.