Determine the constant of proportionality in tables, and use it to find missing values.
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Randy is driving from New Jersey to Florida. Every time Randy stops for gas, he records the distance he traveled in miles and the total number of gallons of gas he used.
Gallons of gas used | 2 | 4 | 8 | 10 | 12 | |
Miles driven | 54 | 189 | 216 |
Grade 7 Mathematics > Module 1 > Topic A > Lesson 3 of the New York State Common Core Mathematics Curriculum from EngageNY and Great Minds. © 2015 Great Minds. Licensed by EngageNY of the New York State Education Department under the CC BY-NC-SA 3.0 US license. Accessed Dec. 2, 2016, 5:15 p.m..
Two water hoses are pouring water into two separate pools. Alex measures the volume of the water in each pool after different amounts of time and records the information in the two tables below.
Hose A | |
Time (min) | Volume (liters) |
2 | 36.7 |
3 | 55.05 |
5 | 91.75 |
8 | 146.8 |
Hose B | |
Time (min) | Volume (liters) |
2 | 42.8 |
4 | 85.6 |
7 | 126 |
10 | 165 |
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The following resources include problems and activities aligned to the objective of the lesson that can be used to create your own problem set.
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In science class, you measure the mass and volume of different pieces of aluminum. You determine that there is a proportional relationship between mass and volume. The data on four samples of aluminum is shown in the table.
Volume (cm$$^3$$) | Mass (g) |
4 | 10.8 |
7 | 18.9 |
12 | 32.4 |
18 | 48.6 |
After you put your scale away, you realize that you forgot to find the mass of one more piece of aluminum. The volume of the piece of aluminum is 10 cm$${^3}$$. Can you determine the mass without taking your scale back out?
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