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Unit 5, Lesson 22 Formulas. Standard: NS 1.2 & 1.3 Objective: Use and write different formulas for any proportional relationship. Formula -. describes a relationship (or pattern) between two or more variables. Using Formulas. Use the formula D=rt to answer these questions.
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Unit 5, Lesson 22 Formulas Standard: NS 1.2 & 1.3 Objective: Use and write different formulas for any proportional relationship.
Formula - describes a relationship (or pattern) between two or more variables.
Using Formulas • Use the formula D=rt to answer these questions. • If you travel for 3 hours at a rate of 50 mph, how far will you have traveled? • If you are running 6 mph for a half an hour, how far did you run? • If you travel 200 miles for 5 hours, how fast were you traveling? • If you travel 357 miles for 7 hours, how fast were you traveling?
A school wall that measures 200 ft. by 12 ft. must be painted blue. An average can of paint covers 250 ft . How many cans will be needed to paint the entire wall? 2 Cans of Paint 9.6 12 ft. 200 ft. Total Area to Paint Area Covered by One Can Number of Cans Needed
Input Function Output y = 5x x y Input Output x y 2 10 2 10 3 15 3 15 4 20 4 20 5 25 . . . 6 30 7 y = 5x 35 7 35
8 x y = 8 x y = 8 20 Logan assembles outdoor BBQs for $8 each. Write a rule that represents his pay, y, in terms of the number of BBQs he assembles, x. Input = x = the # of BBQs assembled. Output = y = amount Logan is paid. Output Input y = If Logan assembles 20 BBQs last week, what would he get paid? y = 160 $160
Todd is 3 years older than his brother, Mark. If Mark is x years old and Todd is y years old, write a rule that relates their ages over time. Input = x = Mark’s age. Output = y = Todd’s age. Output Input y = x + 3 When Mark is 28 years old, how old will Todd be? y = x + 3 y = 28 + 3 Todd will be 31. y = 31
Write a function rule that relates x and y in the tables below. x -2 -1 0 1 2 3 1) y = 4x y -8 -4 0 4 8 12 x -2 -1 0 1 2 3 2) y = x + 5 y 3 4 5 6 7 8 x -2 -1 0 1 2 3 3) y x -2 -1 0 1 2 3 4) y = 3x + 2 y -4 -1 2 5 8 11