Proportions Lesson 6-3. A proportion is an equation stating that two ratios are equivalent. Determine if the quantities in each pair of rates are proportional.

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Presentation transcript:

Proportions Lesson 6-3

A proportion is an equation stating that two ratios are equivalent. Determine if the quantities in each pair of rates are proportional. Explain your reasoning and express each proportional relationship as a proportion. $35 for 7 balls of yarn; $24 for 4 balls of yarn.

$35 for 7 balls of yarn; $24 for 4 balls of yarn. Write each ratio as a fraction. Then find its unit rate. Since the ratios do not share the same unit rate, the cost is not proportional to the number of balls of yarn purchased.

Determine if the quantities in each pair of rates are proportional. Explain your reasoning and express each proportional relationship as a proportion. 8 boys out of 24 students; 4 boys out of 12 students

Write each ratio as a fraction in simplest form. = = Since the fractions are equivalent, the number of boys is proportional to the number of students

1.$12 saved after 2 weeks; $36 saved after 6 weeks 2. $9 for 3 magazines; $20 for 5 magazines

miles driven in 3 hours; 225 miles driven in 5 hours computers for 30 students; 48 computers for 70 students