Writing Equations to Represent Relationships

Student Summary

Remember that if there is a proportional relationship between two quantities, their relationship can be represented by an equation of the form y=kxy = k x. Sometimes writing an equation is the easiest way to solve a problem.

For example, we know that Denali, the highest mountain peak in North America, is 20,310 feet above sea level. How many miles is that? There are 5,280 feet in 1 mile. This relationship can be represented by the equation

f=5,280m\displaystyle f=5,280 m

where ff represents a distance measured in feet and mm represents the same distance measured in miles. Since we know Denali is 20,310 feet above sea level, we can write

20,310=5,280 m\displaystyle 20,310=5,280 m

Solving this equation for mm gives m=20,3105,2803.85m = \frac{20,310}{5,280}≈ 3.85 , so we can say that Denali is approximately 3.85 miles above sea level.

Visual / Anchor Chart

Standards

Building On
5.NBT.7

5.NBT.B.7

Addressing
7.RP.2

7.RP.A.2

7.RP.2

7.RP.A.2