2-8 Literal Equations And Dimensional Analysis Worksheet With Answers - Cognero Page 15
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272-8 Literal Equations and Dimensional Analysis
So, the box can be 5 inches tall.
DRIVING A car is driven x miles a year and averages m miles per gallon.
a. Write a formula for g, the number of gallons used in a year.
b. If the average price of gas is p dollars per gallon, write a formula for the total gas cost c in dollars for driving this
car each year.
c. Car A averages 15 miles per gallon on the highway, while Car B averages 35 miles per gallon on the highway. If
you average 15,000 miles each year, how much money would you save on gas per week by using Car B instead of
a. The number of gallons g multiplied by the number of miles per gallon m equals the total number of miles x, so gm =
x. Solving the formula for g we get
b. If g is the number of gallons and p is the price per gallon, then the total price c is equal to p
g
c. Find the cost for each car.
Car A:
Car B:
You would save about 3000 1286 or $1714 per year which is equivalent to about
or about $33 per week.
CHALLENGE The circumference of an NCAA women s basketball is 29 inches, and the rubber coating is
, where v represents the volume and r is the radius of the inside of the ball,
to determine the volume of the air inside the ball. Round to the nearest whole number.
To find the volume of the air inside, first find the radius of the interior of the ball. The circumference of the ball is 29
inches. Replace C with 29 in the equation for circumference, C = 2 r. Solve for r.
Page 15
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The radius of the ball is about 4.61549 inches. To find the radius of the interior of the ball, subtract
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