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7.1.11 Quiz Review

Problem Solving with Graphs and Tables

TermDefinition
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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