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Problem of the Day. Express $2/lb in cents / ounce. Ratio and Proportion. A ratio is a comparison of two numbers by division. The ratio of a to b is a:b or a/b where b is not equal to zero. Rate is a comparison of a/b where a and b represent two different units. m/h, $/h, $/package
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Problem of the Day • Express $2/lb in cents / ounce.
Ratio and Proportion A ratio is a comparison of two numbers by division. The ratio of a to b is a:b or a/b where b is not equal to zero.
Rate is a comparison of a/b where a and b represent two different units. • m/h, $/h, $/package • The unit rate is a a rate with a denominator of 1 • $3.15/ 1 gallon • $2.50/ 1 gallon
Find the unit rate of an ounce of catsup. • $.72/16 ounces—Divide numerator and denominator by 16. • $.045/ounce is the unit rate.
Converting rates • The boy ran 10,560 feet in 4 hours. What was his speed in feet per minute? • 10,560 feet/4 hr x 1hr/60min=176 feet/min
A proportion is an equation that states two ratios are equal. • t/9 = 5/6 is a proportion. To solve for t cross-multiply and divide. • 9 ∙ 5 = 6 ∙ t • 45 = 6 t • 45/6 = t • t = 7.5
You try it. • A sloth travels .15 miles per hour. Convert this speed to feet per minute. • Solve x/4 = 25/12 • 24/5 = y/7 • 54/d = 72/64
Homework • P. 185 and 186 (2-40even • )