Flashcardizz Quest Review: Ratios & Proportional Relationships

Front

What is a ratio?

Back

A ratio is a comparison of two quantities by division, showing how many times one value contains or is contained within the other.

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal.

Front

How do you solve a proportion?

Back

To solve a proportion, cross-multiply the terms and then isolate the variable.

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant value (k) in the equation y = kx, representing the ratio of y to x.

Front

If a bamboo grows 35 inches each day, what is the constant of proportionality?

Back

35 inches.

Front

What does the equation y = kx represent?

Back

It represents a proportional relationship where y is directly proportional to x with k as the constant of proportionality.

Front

How do you find the price per pound if a candy store charges $25 for 4 3/4 pounds of chocolate?

Back

Divide the total price by the total weight: $25 ÷ 4.75 = $5.26 per pound.

Front

What is the formula to calculate unit rate?

Back

Unit rate is calculated by dividing the quantity by the number of units, expressed as 'quantity per unit'.

Front

If Steven earns $12.75 per hour, how would you express his wages as a function of hours worked?

Back

y = 12.75x, where y is the total wages and x is the number of hours worked.

Front

What is the relationship between ratios and fractions?

Back

Ratios can be expressed as fractions, where the first quantity is the numerator and the second quantity is the denominator.