Bell-ringer: page 58 numbers 1-6

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Presentation transcript:

Bell-ringer: page 58 numbers 1-6 Equivalent Ratios Bell-ringer: page 58 numbers 1-6

Real-World Link Andrea spent $2 to make 10 prints from a photo booth. Later she spent $6 to make 30 prints. Express the relationship between the number of prints she made and the total cost for each situation as a rate in fraction form. Compare the relationship between the numerators of each rate in Ex. 1. Compare the relationship between the denominators of these rates. What is the unit rate for 10 prints? What is the unit rate for 30 prints? Are the rates in Ex. 1 equivalent? Explain. Number of prints Cost 10 2 30 6

Use Unit Rates There are different ways to determine if two ratios or rates are equivalent. One way is by examining unit rates. By comparing quantities as rates in simplest form, you can determine if the relationship between the two quantities stays the same.

Examples Determine if each pair of rates is equivalent. Explain your reasoning. 20 miles in 5 hours; 45 miles in 9 hours. 3 T-shirts for $21; 5 T-shirts for $35.

GOT IT??? Determine if each pair of rates is equivalent. Explain your reasoning. 36 T-shirts in 30 boxes; 60 T-shirts in 6 boxes. 42 Flowers in 7 vases; 54 flowers in 9 vases.

Example 3. Felisa read the first 60 pages of a book in 3 days. She read the last 90 pages in 6 days. Are these reading rates equivalent? Explain your reasoning.

GOT IT? Marcia made 10 bracelets for 5 friends. Jen made 12 bracelets for 4 friends. Are these rates equivalent? Explain your reasoning. Club A raised $168 by washing 42 cars. Club B raised $152 by washing 38 cars. Are these rates equivalent? Explain your reasoning.

Use Equivalent Fractions If a unit rate is not easily found, use equivalent fractions to decide whether the ratios or rates are equivalent.

Examples Determine if the pair of ratios or rates is equivalent. Explain your reasoning. 4. 3 free throws made out of 7 attempts; 9 free throws made out of 17 attempts. 5. Selena is comparing the cost of two packages of DVD’s. A package of 6 DVD’s costs $90 and a package of 3 DVD’s costs $45. Are the rates equivalent? Explain your reasoning.

GOT IT? 1. Mrs. Jeffries has 12 girls out of 16 students on the Student Council. The Earth Day Committee has 4 girls out of 8 students. Are the ratios equivalent? Explain your reasoning.

Homework Page 63 numbers 1-10