What is a rate?
A comparison of two quantities with different units.
48 miles in 6 hours
8 miles per hour
$8.95 for 5 books
$1.79 per book
Better runner (include their unit rate):
Annie = 38 minutes for 4 miles
Chelsea = 48 minutes for 5 miles
Annie in 9.5 minutes per mile
What is a unit rate?
A comparison of two quantities with a denominator of 1.
27 laps in 3 hours
9 laps per hour
$10.95 for 15 pounds of potatoes
$0.73 per pound
Better price:
Strawberries = $17 for 4 pounds
Oranges = $14 for 3 pounds
Strawberries for $4.25 per pound
What is a unit price?
Cost per item
437 feet in 38 seconds
11.5 feet per second
$103.74 for 26 sandwiches
$3.99 per sandwich
If traveling 221 miles takes 13 hours, then how long would it take to travel 374 miles?
22 hours
What is a constant speed?
A speed that continues on without changing.
53 minutes for 8 laps
6.625 minutes per lap
$7.56 for 8 erasers
$0.95 per eraser
If apples cost $17 for 5 pounds, then how much would 11 pounds cost?
$37.40
How is a rate different from a ratio?
Both are comparisons of two quantities, but a rate also includes different units.
A drive to Disney World is 994 miles. If it took 8 days to arrive, how many miles per day were traveled?
124.25 miles per day
$11.99 for 18 granola bars
$0.67 per granola bar
Better price:
Soda = $6.75 for 18 cans
Gatorade = $5.98 for 16 bottles
Gatorade at $0.37 per bottle (0.374)