Math 7 Lesson 46 Rates

Math 7 Lesson 46 Rates

A rate is a rtio, a comparison of two numbers.

If two apples can be purchased for 16 cents, we can write either:

•  $\ \frac{16\ cents}{2\ apples}$  

•  $\frac{2\ apples}{16\ cents}$  

Another way to write it is using "per"

• 1/8 apple per cent or 8 cents per apple

• 65 miles per hour  $\frac{65\ miles}{1\ hour}$  

• 25 miles per gallon $\frac{25\ miles}{1\ gallon}$  

• $12 per hour $\frac{12\ dollars}{1\ hour}$  

Rate

The rate of speed is always found by dividing distance travelled by time.

UNIT PRICE

A unit price is the cost for a single unit of a product. It is a ratio of price to quantity.

Multiple Choice

Arnold drove 390 miles from Los Angeles to Sacramento in 6 hours. What was his average rate of speed?

• 65 mph

• 55 mph

• 40 mph

• 60 mph

Multiple Choice

On the 390 miles trip Arnold's car used 15 gallons of gas. His car averaged how many miles per gallon for the trip?

• 26 mpg

• 25 mpg

• 35 mpg

• 36 mpg

Multiple Choice

Jarrod was paid $480 for 30 hours of work. What was jarrod's hourly rate of pay?

• $16 per hour

• $18 per hour

• $15 per hour

• $12 per hour

Multiple Choice

What is the unit price of a 24-ounce box of cereal priced at $3.60?

• 15 cents per ounce

• 16 cents per ounce

• 14 cents per ounce

• 18 cents per ounce