2-8 Literal Equations and Dimensional Analysis CCSS: A.CED.4, A.REI.3 Example 1: Solve For A Specific Variable 4m 3n 8 for m 15 3n 6 p for n k 2 11 j , for k 5 28 t (r 4), for t a (q 8) 23, for q Example 2: Solve For A Specific Variable 3 x 2 y xz 5 for x d 5c 3d 1, for d 6q 18 qr t , for q Example 3: Use Literal Equations The Largest yo-yo in the world is 32.7 feet in circumference. It was launched by a crane from a height of 189 feet. The formula for circumference of a circle is c 2r Solve the formula for r Find the radius of the yo-yo Example 4: Using Dimensional Analysis • A 10K run is 10 kilometers long. If 1 meter=1.094 yards, use dimensional analysis to find the length of the race in miles. (hint: 1 mi=1760 yd.) • A car travels a distance of 100 feet in about 2.8 seconds. What is the velocity of the car in miles per hour? Round to the nearest whole number.