Proportional Relationships Semester Exam Study Guide

Front

What is the constant of proportionality?

Back

The constant of proportionality (k) is the ratio of two proportional quantities, often expressed as k = y/x.

Front

Write an equation to relate weight (w) to price (p) if the constant of proportionality is 0.45.

Back

p = 0.45w

Front

If a store sells rope at a rate of $0.8 per meter, how much does 1 meter of rope cost?

Back

$0.80

Front

How do you find the constant of proportionality from two variables x and y?

Back

k = y/x

Front

If Taylor can write 25 words per minute, how many words can he write in 12 minutes?

Back

300 words (25 words/minute * 12 minutes = 300 words).

Front

What is a proportional relationship?

Back

A proportional relationship is a relationship between two quantities where the ratio of one quantity to the other is constant.

Front

If a jet travels 5,880 miles in 12 hours, what is its speed in miles per hour?

Back

490 miles per hour (5,880 miles / 12 hours = 490 miles/hour).

Front

What does the equation p = 0.8L represent in a real-world context?

Back

It represents the cost (p) of nylon rope based on its length (L) in meters.

Front

If k = 0.22, what is the price (p) for a weight (w) of 10?

Back

p = 0.22 * 10 = $2.20.

Front

What is the formula for finding the price if the constant of proportionality is known?

Back

p = kw, where k is the constant of proportionality and w is the weight.