deb made a scale drawing of geoffrey, her favorite giraffe at the oak creek zoo. in real life, geoffrey is…
deb made a scale drawing of geoffrey, her favorite giraffe at the oak creek zoo. in real life, geoffrey is 15 feet tall, and his neck is 6 feet long. when deb drew geoffrey, she made his neck 2 inches long, and she made him 5 inches tall. what scale did deb use to make her drawing? 1 inch : feet
Answer
Explanation:
Step1: Use height to find scale
Real height: 15 feet, Drawing height: 5 inches. Let scale be 1 inch : ( x ) feet. So ( 5 ) inches (drawing) corresponds to ( 15 ) feet (real). Set up proportion: ( \frac{5 \text{ inches}}{15 \text{ feet}} = \frac{1 \text{ inch}}{x \text{ feet}} ). Cross - multiply: ( 5x = 15\times1 ).
Step2: Solve for x
Simplify ( 5x = 15 ), divide both sides by 5: ( x=\frac{15}{5}=3 ). We can check with neck length: Real neck 6 feet, drawing neck 2 inches. ( \frac{2 \text{ inches}}{6 \text{ feet}}=\frac{1 \text{ inch}}{3 \text{ feet}} ), which matches.
Answer:
3