Section 6.1 Ratios and Rates

Ratio Ratio is the quotient of two quantities. Ratio can be written in three notations Fraction notation To notation a to b Colon notation a : b

Example Write the ratio 25:39 in to notation. Write the ratio ¾ in colon notation Write the ratio 2.5 to 1.6 in fraction notation

Example Find the ratio of the width to the perimeter given the swimming pool below.

Rate A special type of ratio is a rate. Rates are used to compare different kinds of quantities.

Example Given the statement 5 shrubs every 15 feet Write the rate as a fraction then simplify.

Example Given the statement 8 phone lines for 36 employees Write the rate as a fraction then simplify.

Unit Rate A rate where the denominator reduces down to one, if needed divide with decimals.

Example Write each rate as a unit rate The state of Delaware has 631,500 registered voters for two senators.

Example Write each rate as a unit rate 275 miles in 4 hours

Example Find the unit price for each and then decide which one is the better buy. Crackers $3.29 for 8 ounces $4.79 for 12 ouncs

Example Find the unit price for each and then decide which one is the better buy. Shampoo 20 ounces for $1.89 32 ounces for $3.19