7th Grade Math Ratio and Proportions

Important points of rates and proportional relationships

• A proportional relationship, sometimes known as the constant of proportionality, relates two quantities according to a common ratio.
• We can state this proportional relationship with the formula, y = kx. 
• Y and x here are the quantities that are proportional to each other.
• The k here is called the constant of proportionality, sometimes known as the unit rate.
• A relationship is proportional if each pair of data values are related in the same way, by multiplying by a factor.
• You can recognize a proportional relationship by looking at data, an equation, or a graph.
• Rates and Proportional relationships are related to each other.

Rates and Proportional Relationship Example

1.   Yesterday, a man put 10 gallons of gas in his car and he paid $30. A couple hours later, he went back to the gas station with his dad’s car and after filling up the tank, he paid $18. How many gallons of gas did he put in his dad’s car?”

• In order to solve this problem, first we’ll have to figure out the proportionality ratio between the gallons he put in his car and the amount he paid.
• $30 ÷ 10 gallons = $3/gallon ($ per gallon)
• After, once we know that the ratio is $3/gallon, we need to calculate how many gallons we can put in the tank with $18.
• $18 ÷ $3/gallon = 6 gallons

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Sum Up

7th grade students can deepen their understanding of ratios learn to analyse relationships and measures of quantities with proper knowledge of proportional relationships.