Vocabulary literal equation – another name for a formula dimensional analysis – the process of carrying units throughout a computation unit analysis –

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Presentation transcript:

Vocabulary literal equation – another name for a formula dimensional analysis – the process of carrying units throughout a computation unit analysis – dimensional analysis

Example 1 Solve for a Specific Variable Solve 5b + 12c = 9 for b.

A.A B.B C.C D.D Example 1 Solve 2x – 17y = 13 for y.

Example 2 Solve for a Specific Variable Solve 7x – 2z = 4 – xy for x.

A.A B.B C.C D.D Example 2 Solve 12a + 3c = 2ab + 6 for a.

Example 3A Use Literal Equations A. FUEL ECONOMY A car’s fuel economy E (miles per gallon) is given by the formula, where m is the number of miles driven and g is the number of gallons of fuel used. Solve the formula for m.

Example 3B B. FUEL ECONOMY If Quanah’s car has an average fuel consumption of 30 miles per gallon and she used 9.5 gallons, how far did she drive? Use Literal Equations

Example 4 Use Dimensional Analysis CHIMPANZEES The average weight of the chimpanzees at a zoo is 52 kilograms. If 1 gram ≈ ounce, use dimensional analysis to find the average weight of the chimpanzees in pounds. (Hint: 1 lb = 16 oz) weight of chimpanzee kilograms to grams grams to ounces ounces to pounds 52 kg × × ×

52 kg × × ×= Example 4 Use Dimensional Analysis Notice how the units cancel leaving the unit to which you are converting. Answer: The average weight of a chimpanzee is about 115 pounds.

A.A B.B C.C D.D Example 4 CHARITY Janet is walking 20 laps of a track in a relay to raise money for cancer research. If each lap is 350 meters, how many miles will Janet walk? (Hint: 1 meter = yards and 1 mile = 1760 yards)