Rate, Ratios & Proportions

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Across
  1. 2. a relationship between two quantities where they have a constant ratio; when one quantity changes, the other changes by the same factor so points make a straight line through the origin on a graph.
  2. 5. two ratios that name the same comparison (for example, 2:3 and 4:6 are equivalent because both equal \frac{2}{3}).
  3. 7. the multiplier used to enlarge or reduce quantities in proportional situations (for example, building a model 1:50 uses a scale factor of \frac{1}{50}).
  4. 9. an equation stating that two ratios are equal (for example, \frac{2}{5}=\frac{6}{15}).
  5. 11. a method for checking or solving proportions by multiplying diagonally across an equation of two fractions; if \frac{a}{b}=\frac{c}{d} then ad=bc.
Down
  1. 1. the fixed number (also called the constant multiplier or k) that relates two quantities in a proportional relationship; in y = kx, k is the constant of proportionality.
  2. 3. a specific type of ratio that compares two quantities with different units (for example, miles per hour, or $5 per pound).
  3. 4. the rate of change of a line; in proportional relationships slope equals the constant of proportionality and is found by rise over run (change in y divided by change in x).
  4. 6. using proportional reasoning to change a measurement from one unit to another (for example, converting hours to minutes using the ratio 1 hour : 60 minutes).
  5. 8. a comparison of two quantities using division; shows how many times one number contains another (for example, the ratio of 6 to 3 is 6:3 or 6/3).
  6. 10. a rate with a denominator of one (for example, 60 miles per 1 hour written as 60 miles per hour).