Ratios
Rate/Unit Rate
Proportional Relationships
Graphs
Mystery
100
What is a ratio?
An ordered pair of numbers in which both numbers are not zero. It is written like A:B.
100
What is a unit rate?
A ratio between two quantities where the rate is for one of something, Such as 5 miles per hour. **Key word is PER**
100
What makes a relationship proportional?
The ratio between the two quantities is the same every time, meaning there is constant change being applied.
100
What is this point on the graph called?
The origin! It is always on the point (0,0).
100
Solve (NO CALCULATOR ALLOWED): 24+57
81
200
In this classroom there are 16 boys and 14 girls. Create a ratio of boys to girls. Don't forget to simplify!!!
Boys: Girls = 16:14 = 8:7
200
Arnold's Hamburgers sees 360 customers in 30 days. What is the rate?
360 customers per 30 days
200
Does the following table show a proportional relationship?
Yes. Every ratio is 3:1 when simplified.
200
What two things does a graph need to show to be proportional?
1. The line is straight
2. The line touches the origin
200
Round 57.3487698486 to the nearest hundredths.
57.35
300
The OSU Sooners football team on last Saturdays game ran 50 plays. 40 of them were rushing plays, 10 were passing plays. Create a ratio of rushing to passing plays.
Rushing:Passing = 40:10 = 4:1.
300
On a road trip you travel 420 miles in 7 hours. Find the rate AND the unit rate.
Rate: 420 miles per 7 hours
Unit Rate: 60 miles per hour
300
The table below represents the relationship of the amount of snowfall (in inches) in 5 counties to the amount of time (in hours) of a recent winter storm. Determine if the relationship is proportional.
No it is not proportional, because the ratio for each amount of snowfall to time is not equivalent. 10/2 = 5; 12/6 = 2; 16/8 = 2; 5/2.5 = 2; 14/7 = 2.
300
Write the ordered pairs for the following points.
W: (1,5) X: (4,2) Y:(4,1) Z: (2,4)
Remember ordered pairs are written as (x,y).
300
What fraction is this decimal 0.333333
1/3
400
Ms. Aubreigh is having a donut sale. The ratio for candy to cost is 3:2. How much will you spend if you want to buy 12 donuts?
$8
400
Veronica is looking to babysit for a family. The Johnson family pays $180 for every 20 hours. The Lopez family pays $165 for every 15 hours. Which family will pay Veronica more money?
The Lopez family at $11 per hour (The Johnson family pays $9 per hour).
400
Is this relationship proportional?
No: 63/2 = 31.5; 112.50/5 = 22.5; 145.50/7 = 20.8
400
Is this graph proportional? Why or why not?
400
Solve (NO CALCULATOR ALLOWED): 3246 x 53
172,038
500
Create two equivalent ratios for the ratio 7:6.
Some options include: 14:12, 21:18, 28:24, 70:60
500
Webster purchased 350 posters for $1,137.50 for the spirit store. If the school wants to make a profit of $1,500 when selling them, how much do they need to charge for each poster?
$1,137.50 + $1,500 = $2, 637.50
$2,637.50/350 posters = $7.54 per poster
500
Randy is driving from New Jersey to Florida. Every time Randy stops for gas, he records the distance he traveled in miles and the total number of gallons he used.
Assume that the number of miles driven is proportional to the number of gallons consumed in order to complete the table.
Since it is proportional, then every ratio comparing miles driven to gallons consumed must be equal. Using the given values for each quantity, the value of the ratio is
54/2= 27 216/8=27
500
Is this graph proportional why or why not?
500
Solve Using Long Division (NO CALCULATOR ALLOWED):
21560 / 5
4,312