Lesson 4-2 Solving Proportions

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Presentation transcript:

Lesson 4-2 Solving Proportions Page 163

#1) Are the ratios proportional? 6 12 12 24 Cross multiply. 144 = 144 YES

#2) Are the ratios proportional? 2 9 6 27 Cross multiply. 54 = 54 YES

NO. The cross products are not equal. #5) A bubble solution can be made with a ratio of 1 part detergent to 8 parts water. Would a mixture of 56 oz water and 8 oz detergent represent the same ratio? Explain. 𝑑𝑒𝑡𝑒𝑟𝑔𝑒𝑛𝑡 𝑤𝑎𝑡𝑒𝑟 1 8 8 56 56 ≠ 64 NO. The cross products are not equal.

#6) The ratio of an object’s weight on Earth to its weight on the Moon is 6:1. The first person to walk on the Moon was Neil Armstrong. He weighed 165 pounds on Earth. How much did he weigh on the Moon? 𝐸𝑎𝑟𝑡ℎ 𝑀𝑜𝑜𝑛 6 1 165 𝑥 6𝑥 = 165 6 6 𝑥=27.5 𝑝𝑜𝑢𝑛𝑑𝑠

#7) A school bus travels 7 miles in 20 minutes #7) A school bus travels 7 miles in 20 minutes. At this rate, how long will it take the school bus to complete its entire 45.5-mile route? 𝑚𝑖𝑙𝑒𝑠 𝑚𝑖𝑛𝑢𝑡𝑒𝑠 7 20 45.5 𝑥 7𝑥 = 910 7 7 𝑥=130 𝑚𝑖𝑛𝑢𝑡𝑒𝑠

#8) Ana is using a photocopier to make 315 copies of a poster #8) Ana is using a photocopier to make 315 copies of a poster. It takes 3 minutes to print the first 63 posters. If the photocopier continues to print at the same rate, how many more minutes will it take to complete the job? 𝑚𝑖𝑛𝑢𝑡𝑒𝑠 𝑝𝑜𝑠𝑡𝑒𝑟𝑠 3 63 𝑥 252 756 = 63𝑥 63 63 12=𝑥 12 minutes