Representing Ratios with Equations

Front

What is a ratio?

Back

A ratio is a comparison of two quantities that shows the relative size of one quantity to another, often expressed as a fraction.

Front

How can ratios be represented using equations?

Back

Ratios can be represented using equations by expressing one quantity in terms of another, such as c = kp, where c is the total cost, p is the quantity, and k is the cost per unit.

Front

What does the equation c = 5.50p represent?

Back

This equation represents the total cost (c) of buying p pizzas, where each pizza costs $5.50.

Front

If y = 27x, what does this equation signify?

Back

This equation signifies that the total cost (y) is 27 times the number of tickets (x) purchased.

Front

What is the meaning of the equation y = 18x in a serving context?

Back

This equation means that for every serving (x), 18 ounces of water (y) are needed.

Front

What does the equation m = 12h represent in terms of earnings?

Back

This equation represents the total money earned (m) based on the number of hours worked (h) at a rate of $12 per hour.

Front

How can you express the relationship between words typed and time in minutes?

Back

The relationship can be expressed as w = 50m, where w is the number of words and m is the number of minutes.

Front

What is the purpose of using equations to represent ratios?

Back

Using equations to represent ratios helps to clearly define the relationship between quantities and allows for easier calculations.

Front

What is a unit rate?

Back

A unit rate is a ratio that compares a quantity to one unit of another quantity, such as miles per hour or cost per item.

Front

How do you find a missing value in a ratio equation?

Back

To find a missing value in a ratio equation, you can use cross-multiplication or substitution based on the known values.