Ratios
Unit Rate
Relationships of Proportionality
Surprise
100
What is the definition of a ratio?
A ratio is a comparison of two quantities by division.
100
What is a unit rate?
A unit rate is a rate in which the second quantity in the comparison is one unit. It is a special type of ratio where the denominator is always 1.
100
What is a proportional relationship?
A proportional relationship is a relationship between two quantities where the ratio of one quantity to the other quantity is constant.
100
360 customers in 30 days : 360 clientes en 30 días
12 customers per day
200
How many different ways can you write a ratio? Provide an example.
18:4, 18 to 4, 18/4
200
If it takes 4 hours to travel 240 miles, what is the unit rate in miles per hour (mph)?
60 mph
(Divide the total distance by the total time: 240 miles ÷ 4 hours = 60 mph.)
200
If y is directly proportional to x, and y = 5 when x = 10, what is the constant of proportionality?
y divided by x=
0.5
300
If a recipe calls for 2 cups of flour and 3 cups of sugar, what is the ratio of flour to sugar?
2:3, 2 to 3, or 2/3
300
If a pack of 8 juice boxes costs $3.20, what is the unit price per juice box?
$0.40
(Divide the total cost by the number of juice boxes: $3.20 ÷ 8 = $0.40 per juice box.)
300
If 4 gallons of paint cover an area of 160 square feet, what is the rate of proportionality (gallons per square foot)?
*divide gallons and square foot
0.025
300
$12.48 for 8 pounds of apples, Therefore 1 pound =
$12.48 por 8 libras de manzanas, Por lo tanto, 1 libra es igual a
$1.56 for 1 pound of apples.
400
Jamal's Ice Cream Shop sold 73 sundaes. 44 of the sundaes had nuts on top. What is the ratio of the number of sundaes with nuts to the number of sundaes without nuts? La heladería de Jamal vendió 73 sundaes. 44 de los helados tenían nueces encima. ¿Cuál es la razón entre el número de helados con nueces y el número de helados sin nueces?
44:29, 44 to 29, 44/29
400
A car travels 300 miles on 15 gallons of gas. What is the unit rate in miles per gallon (mpg)?
20 mpg
(Divide the total distance by the total amount of gas: 300 miles ÷ 15 gallons = 20 mpg.)
400
Which table has a proportional relationship?
Table A.
500
There are 93 parking spots in total. Of the 93 parking spots in the garage, 44 are empty. What is the ratio of the number of full parking spots to the total number of parking spots? Hay 93 plazas de aparcamiento en total. De las 93 plazas de aparcamiento del garaje, 44 están vacías. ¿Cuál es la razón entre el número de lugares de estacionamiento llenos y el número total de lugares de estacionamiento?
49:93, 49 to 93, 49/93
500
If a car travels 250 miles on a full tank of gas, and the tank holds 15 gallons, what is the unit rate of miles per gallon (mpg)?
16.67 mpg
(Divide the total distance by the total amount of gas).
500
If a bicycle travels 10 miles in 2 hours, what is its speed in miles per hour (mph)
5 mph
500
Write three ratios that are equivalent to the one given.
18:4
36:8, 54:12, 72:16