Representing Ratios with Equations

Front

What is a ratio?

Back

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

Front

How can ratios be represented?

Back

Ratios can be represented in three ways: as fractions, with a colon (e.g., 2:3), or with the word 'to' (e.g., 2 to 3).

Front

What does the coordinate point (2,10) represent in terms of ratios?

Back

The coordinate point (2,10) represents a ratio of 2 to 10, which can be interpreted as 10 km for every 2 minutes.

Front

What is the equation to represent the cost of p pizzas if each pizza costs $5.50?

Back

The equation is c = 5.50p, where c is the total cost and p is the number of pizzas.

Front

How do you find the equation from a table of values?

Back

To find the equation from a table, identify the relationship between the x and y values, often in the form of y = mx + b.

Front

What does the equation y = 6x represent?

Back

The equation y = 6x indicates that for every 1 unit increase in x, y increases by 6 units.

Front

If the number of tickets is x and the total cost is y, what does y = 27x mean?

Back

The equation y = 27x means that each ticket costs $27.

Front

What is the meaning of the equation d = 9h?

Back

The equation d = 9h indicates that the distance d is nine times the height h.

Front

What is a proportional relationship?

Back

A proportional relationship is one where two quantities maintain a constant ratio or rate.

Front

How do you convert a ratio into a fraction?

Back

To convert a ratio into a fraction, place the first quantity as the numerator and the second quantity as the denominator.