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7.1.11 Quiz Review
Problem Solving with Graphs and Tables
| Term | Definition |
|---|---|
| ratio | a comparison of two quantities using division |
| rate | a ratio that compares two quantities measured in different units |
| proportion | an equation that states that two ratios are equal to each other |
| equivalent ratios | ratios that have the same value |
| cross products | the product of numbers on the diagonal when comparing two ratios are equal |
| scaling up | creating an equivalent ratio by multiplying the top and bottom of a fraction by the same number |
| scaling down | creating an equivalent ratio by dividing the top and bottom of a fraction by the same number |
| how to find equivalent ratios | 1. divide each fraction and see which ones are equal as decimals OR 2. Scale up or scale down OR 3. use cross products to see if they are equal |
| How to solve a proportion with a missing value | 1. use cross products to write and solve an equation OR 2. scale up or scale down |
| unit rate | a rate that has a denominator of 1 |
| how to calculate a unit rate | divide the numerator by the denominator |
| solve a word problem with proportions | 1. read the problem carefully 2. set up a proportion carefully lining up like units and making the unknown x 3. use cross products to write and solve an equation to find your missing infomation |
| proportional | when two quantities have a constant rate or COP |
| non-proportional | when two quantities DO NOT have a constant rate or COP |
| constant of proportionality | the constant ratio between two quantities, found by dividing y by x |
| proportions in tables | divide y/x and see if they are all the same |
| y = kx | the formula used for proportional relationships, where k = the constant rate (COP) |
| origin | ( 0 , 0 ) |
| proportions in graphs | 1. Straight line (linear) 2. Goes through origin |
| ( 1 , r ) | the ordered pair for unit rate |
| describe a point on a graph based on the situation | use the labels to identify which each point refers to Ex. (1 , 30) = 1 hour for 30 miles or 30 miles per hour |
| solve for a missing value on a table or chart | 1. find the COP, write an equation in y = kx form, then put in given information and solve 2. write a proportion from any given point and solve |
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