3-4 Direct Variation Word Problems

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Presentation transcript:

3-4 Direct Variation Word Problems Goal: Use direct variation to solve word problems Eligible Content: A1.2.2.1.1 / A1.2.2.1.2

Word Problem #1 The Ramirez family is driving cross-country on vacation. They drive 330 miles in 5.5 hours. Write a direct variation equation to find the distance driven for any number of hours. y = 60x Estimate how far they would drive in 8 hours. 480 miles

Word Problem #2 The tail and body lengths of 8 alligators are shown below. Write a model that relates tail length to body length. y = 10 9 x Estimate the body length of an alligator whose tail length is 4.5 feet. 5 feet long body Tail (feet) x 1.35 2.16 2.79 2.88 3.87 4.77 5.04 5.76 Body(feet) y 1.5 2.4 3.1 3.2 4.3 5.3 5.6 6.4 Constant of Variation

Word Problem #3 The first airship was built in 1852. It had a volume of 88,000 cubic feet and could support 5,650 pounds. The weight of an airship varies directly with its volume. Write a direct variation equation to find the weight that can be supported by any given volume. 𝑦= 113 1760 𝑥 In 1937 the second largest airship was built. It had a volume of 7,063,000 cubic feet. How much weight could the larger airship support? 453,477 pounds

Dustin ran a 26-mile marathon in 3. 25 hours Dustin ran a 26-mile marathon in 3.25 hours. Write a direct variation equation to find the distance run for any number of hours. A. y = x B. y = 8x C. y = 8 D. y= 𝟏 𝟖 𝒙

Estimate how many hours it would take to jog 16 miles. A. 1 hour B. ½ hour C. 16 hours D. 2 hours

Practice Page 185 #9

Homework None 