7.5.3 Writing Proportions
Tables, Rows, and Columns Use a table to help you in writing proportions You can use the columns… 2 boxes = 3 boxes (numerators have the same units) $9.00 x dollars (denominators have the same units) You can use the rows… 2 boxes = $9.00 (the units are the same on 3 boxes x dollars each side of the proportion) Last Weekend This Weekend Popcorn Boxes 2 3 Total Cost $9.00 x dollars
Batting Average batting average = at bats (A) hits (H) . batting average = at bats (A) A player whose batting average is .250 is has a 250 batting average. 20 hits = .250 batting average = 250 hits . 80 at bats 1000 at bats
How many hits? Determine the hits needed for each batting average below. 50 times at bat; batting average is .200 84 times at bat; batting average is .250 80 times at bat; batting average is .350 1 time at bat; batting average is 1.000
Mental Math Step 1: Think about the relationship between the two numbers on each side of the equal sign. Example: 3 . = x . 2 8 2 · ? = 8 2 · 4 = 8 Step 2: Apply that relationship to the other number to solve for x. 3 . = x . 2 8 3 · 4 = 12 x = 12
Solving Proportions Using Mental Math 5/8 = 20/d 7/z = 14/10 21/24 = x/8
Homework Pg. 182 #1, 4*, 5*, 6*, 7*, 8*, 10*, 12, 17, 19, 20, 21 *note: you don’t need to solve these; just write the proportion (the two fractions with the equal sign in between them).