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8-2 The Percent Equation Standard: PFA N8: Develop algorithms for percent problems and be fluent in their use
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The Equation Take Note: -Use the decimal form for the %!! -Whatever the % represents, the part represents -They have to match!! % · Base = Part (of) (is)
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Example 1 (Missing Part) If 20% of the class is Boys and there are 30 students in the class, how many are boys? % · Base = Part (of) (is) % boys students = part boys 20% 30 = b 0.20 30 = b 6 = b (Use the equation) (Remember, the part and the percent must match!) (Change the percent to a decimal) (Multiply) (Write a sentence) There are 6 boys (and 24 girls) in the class.
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Missing % Joe made 34 shots out of 50 he attempted. What % of shots did Joe miss? % · Base = Part (of) (is) % missed Shots attempt = Shots missed p 50 = 16 50 50 p = 0.32 Joe missed 32% (made 68%) of his shots. (Use the equation) (The part and the percent must match!) (Use the inverse operation to isolate the variable) (Change the decimal to percent form to answer the question) or 32% Write a sentence.
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Missing Base 80% of What Number is 42? % base = part (of) (is) 80% b = 42 0.80 b = 42 0.80 0.80 b = 52.5 80% of 52.5 is 42. (Use the equation) (Change the percent to a decimal) (Use the inverse operation to isolate the variable) (Divide) (Write a sentence)
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You Try… 40% of all cell phone users report talking while driving. If 32 people said they talk while driving, how many cell phone users were surveyed? % · Base = Part (of) (is) % talk cell users = part talk 40% s = 32 0.40 s = 32 0.40 0.40 s = 80 80 cell phone users were surveyed. (Use the equation) (Remember, the part and the percent must match!) (Change the percent to a decimal) (Use the inverse operation to isolate the variable) (Write a sentence)
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One More… 45% of Mrs. Pettit’s students are boys, and 50% of Mrs. Campbell’s students are boys. If Mrs. Pettit has 140 Students and Mrs. Campbell has 135 students, who has more boys?
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Homework Pg. 342-343 #22-26, 32-43 all
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