Proportional Reasoning. Worked Examples
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1 Proportional Reasoning Worked Examples
2 I know I can drive about 300 miles on a full tank of gas. My gas tank looks like it is about 1/4 full. How many more miles can I drive?
3 I know I can drive about 300 miles on a full tank of gas. My gas tank looks like it is about 1/4 full. How many more miles can I drive? If I have a quarter tank, I can drive about a quarter of my full range. So I can drive about 75 more miles.
4
5 Proportional reasoning to the rescue here we can compare the price per ounce and see which is least. The phrase price per ounce tells us exactly which ratios we should compare price divided by ounces.
6 Proportional reasoning to the rescue here we can compare the price per ounce and see which is least. The phrase price per ounce tells us exactly which ratios we should compare price divided by ounces. Little bottle: $7.99/50 ounces is about $0.16 per ounce. Medium bottle: $13.99/100 ounces is about $0.14 per ounce. Big bottle: $17.99/150 ounces is about $0.12 per ounce.
7 Proportional reasoning to the rescue here we can compare the price per ounce and see which is least. The phrase price per ounce tells us exactly which ratios we should compare price divided by ounces. Little bottle: $7.99/50 ounces is about $0.16 per ounce. Medium bottle: $13.99/100 ounces is about $0.14 per ounce. Big bottle: $17.99/150 ounces is about $0.12 per ounce. The big bottle is the best deal.
8 Proportional reasoning to the rescue here we can compare the price per ounce and see which is least. The phrase price per ounce tells us exactly which ratios we should compare price divided by ounces. Little bottle: $7.99/50 ounces is about $0.16 per ounce. Medium bottle: $13.99/100 ounces is about $0.14 per ounce. Big bottle: $17.99/150 ounces is about $0.12 per ounce. The big bottle is the best deal. By the way, you could just as easily answer this question using ounces per dollar the bottle with the most ounces for each dollar would be the best deal. Would you get the same answer?
9 Bonus Question: Suppose you have a coupon for $4 off any size bottle of your detergent. If you use your coupon, which bottle will have the smallest price per ounce?
10 Bonus Question: Suppose you have a coupon for $4 off any size bottle of your detergent. If you use your coupon, which bottle will have the smallest price per ounce? Little bottle: $3.99/50 ounces is about $0.08 per ounce. Medium bottle: $9.99/100 ounces is about $0.10 per ounce Big bottle: $13.99/150 ounces is about $0.09 per ounce.
11 Bonus Question: Suppose you have a coupon for $4 off any size bottle of your detergent. If you use your coupon, which bottle will have the smallest price per ounce? Little bottle: $3.99/50 ounces is about $0.08 per ounce. Medium bottle: $9.99/100 ounces is about $0.10 per ounce Big bottle: $13.99/150 ounces is about $0.09 per ounce. The coupon makes the little bottle the best deal per ounce on this trip.
12 My itunes library has about 9000 songs, for a total of GB. Unfortunately, my ipod has a usable capacity of only 27.8 GB. About how many of my songs can I fit on my ipod?
13 My itunes library has about 9000 songs, for a total of GB. Unfortunately, my ipod has a usable capacity of only 27.8 GB. About how many of my songs can I fit on my ipod? The ipod can hold about of my library. Of my 9000 songs, then, it can hold about = 7700 songs. Check: The ipod said it would hold about 7500 songs, so that seems right. I need a bigger ipod.
14 Certain model cars have a 1/43 ratio, which means that each inch of length on the model corresponds to 43 inches of length on the real car. I have a doll who measures 1.5 inches tall. Will she look the right size next to one of these model cars?
15 Certain model cars have a 1/43 ratio, which means that each inch of length on the model corresponds to 43 inches of length on the real car. I have a doll who measures 1.5 inches tall. Will she look the right size next to one of these model cars? If each inch of the doll s height corresponds to 43 inches on a real person, she will represent a person who is 1.5 times 43 inches, or 64.5 inches tall. She d appear to be about 5 foot 5 inches, which seems reasonable for a real person.
So, the table for Desmond s Time shows a proportional relationship. The ratio between the time and the number of laps is always 73.
Explain your reasoning. 1. An adult elephant drinks about 225 liters of water each day. Is the number of days the water supply lasts proportional to the number of liters of water the elephant drinks? 3.
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