7th grade Ratio and Proportion

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

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

To determine if a table is proportional, check if the ratio of y to x is constant for all pairs of values.

The constant of proportionality is the constant value (k) that relates two proportional quantities, often represented as y = kx.

Yes, because the ratio of y to x is constant (3) for all pairs.

No, because the ratio of y to x is not constant.

The constant of proportionality can be found using the formula k = y/x.

To express a ratio in simplest form, divide both terms of the ratio by their greatest common divisor (GCD).

An example is cooking, where ingredients must be mixed in specific ratios to achieve the desired flavor.

Cross-multiply the known values and then solve for the unknown variable.