169_186_CC_A_RSPC1_C12_662330.indd



Objective 2 - Literal Equations & Dimensional AnalysisUse Formulas Many real-world problems require the use of formulas. Sometimes solving a formula for a specified variable will help solve the problem.Example: The formula C = πd represents the circumference of a circle, or the distance around the circle, where d is the diameter. If an airplane could fly around Earth at the equator without stopping, it would have traveled about 24,900 miles. Find the diameter of Earth.C = πdGiven formulaRewrite:d =Solve for d.d =Use π = 3.14.d ≈ Simplify.The diameter of Earth is about _______ miles.Exercises1. GEOMETRY The volume of a cylinder V is given by the formula V = πr2h, where r is the radius and h is the height.Solve the formula for h.Find the height of a cylinder with volume 2500π cubic feet and radius 10 feet.2. WATER PRESSURE The water pressure on a submerged object is given by P = 64d, where P is the pressure in pounds per square foot, and d is the depth of the object in feet.Solve the formula for d.b. Find the depth of a submerged object if the pressure is 672 pounds per square foot.3. GRAPHS The equation of a line containing the points (a, 0) and (0, b) is given by the formula xa + yb = 1.Solve the equation for y.Suppose the line contains the points (4, 0), and (0, –2). If x = 3, find y.HIGHWAYS Interstate 90 is the longest interstate highway in the United States, connecting the cities of Seattle, Washington and Boston, Massachusetts. The interstate is 4,987,000 meters in length. If 1 mile = 1.609 kilometers, how many miles long is Interstate 90?INTEREST Simple interest that you may earn on money in a savings account can be calculated with the formula I = prt. I is the amount of interest earned, p is the principal or initial amount invested, r is the interest rate, and t is the amount of time the money is invested for. Solve the formula for p.29622754826000Use the chart for problems 6-13:5,400 inches to miles16 weeks to seconds54 yards to mm19 inches to feet1.09 g/mL to lbs/gal4.22 g/cm to lbs./ftYou have the Heebie-Geebies. Your grandmother sends you a remedy for the Heebie-Geebies with the following instructions: “Take 1 drop per 10 lbs. of body weight per day divided into 4 doses until the Heebie-Geebies are gone.” How many drops do you take per dose??In my chemistry class, 28 students are each given 3 pens. If there are 8 pens in one package, priced at $1.88 per package, what is the total cost of giving away pens? ................
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