Rates and Unit Rates
Complex Fractions
Convert Unit Rates
Proportional Relationships
Rate of Change and Slope
100
What does it mean to calculate the unit rate?
When the denominator of the rate is equal to 1.
100
Simplify
4/(1/5)
20
100
17 cm/min = ______ m/h. Round to the nearest hundredth if necessary.
10.2
100
What does it mean for quantities to be proportional?
They have the same unit rate or ratio.
100
How do you calculate the constant rate of change or slope?
(y - y)/(x-x)
200
Find the unit rate of 175 Calories in 12 ounces. Round your answer to the nearest hundredth.
14.58 C per oz
200
Simplify
(2/5)/6
12/5 or 2 2/5
200
64 mi/h ~________ ft/s Round to the nearest hundredth if necessary.
93.9
200
How do you know if a graph is proportional?
The line goes through (0,0) and is the line is straight.
200
Find the constant rate of change.
$4 per pound
300
A machinist can produce 114 parts in 6 minutes. At this rate, how many parts can the machinist produce in 15 minutes?
285 parts
300
Simplify
(6/7)/(9/14)
4/3 or 1 1/3
300
90mi/h = ______mi/min Round to the nearest hundredth if necessary.
1.5
300
The world’s fastest fish, a sailfish, swims at a rate of 69 miles per hour. Is the distance a sailfish swims proportional to the number of hours it swims?
Yes, because the distance traveled is proportional to the time; 69/1 , or 69.
300
Find the constant rate of change of the following table:
$41 per month
400
CD Express offers 4 CDs for $60. Music Place offers 6 CDs for $75. Which store offers the better buy?
Music Place
400
Kim can jog 3 2/5 miles in 7/8 hour. Find her average speed in miles per hour.
3 31/35 mph
400
2 lb per week ~ _______oz/day. Round your answer to the nearest hundredth.
4.57
400
Solve the proportion: b/5 = 8/16
2.5
400
Find the slope of the graph and explain what it means.
4 bracelets per girl
500
After 3.5 hours, Pasha had traveled 217 miles. If she travels at a constant speed how far will she have traveled after 4 hours?
248 miles
500
Charlotte reads 8 1/3 pages of a book in 10 minutes. What is her average reading rate in pages per minute?
5/6 pages per minute
500
720 pt/h ~ ______ qt/min. Round to the nearest hundredth if necessary.
6
500
An assembly line worker at Rob’s Bicycle factory adds a seat to a bicycle at a rate of 2 seats in 11 minutes. Write a proportion relating the number of seats s to the number of minutes m. At this rate, how long will it take to add 16 seats? 19 seats?
2/11 = s/m , 88 min or 1 h 28 min; 104.5 min or 1h 44 min 30 s
500
At 1 pm, there were 16 seagulls on the beach. At 3pm, there were 40 seagulls. What is the constant rate of change?
12 seagulls per hour