Equation of a Proportional Relationship

Equation of a Proportional Relationship

Goal

SWBAT represent a proportional relationships in a real world context using equations.

SWBAT representan relaciones proporcionales en un contexto del mundo real utilizando ecuaciones.

Multiple Choice

What is the constant of proportionality in the following table?

• 10

• 5

• 15

• 20

New Info

• Relationships can be represented using variables and equations

• A proportional relationship can always be represented by Y = KX

• This means, the dependent variable value can always be found by multiplying the independent variable by the constant of proportionality.

Multiple Select

 $y\ =\ 60x$  represents the relationship between miles driven (y) and hours driven(x). How many miles is driven is 5 hours?

• 15

• 12

• 300

• 150

Steps

1) Find the constant of proportionality (k)

2) Replace 'k' in the equation y = kx with the constant of proportionality.

Birdhouses

Jackson and his grandfather constructed a model for a birdhouse. Many of their neighbors offered to buy the birdhouses. Jackson decided that building birdhouses could help him earn money for his summer camp, but he is not sure how long it will take him to finish all of the requests for birdhouses. If Jackson can build 7 birdhouses in 5 hours, write an equation that will allow Jackson to calculate the time it will take him to build any given number of birdhouses, assuming he works at a constant rate. 

Open Ended

Write an equation that you could use to find out how long it will take him to build any number of birdhouses.

Open Ended

How many birdhouses can Jackson build in 40 hours?

Open Ended

How long will it take Jackson to build 35 birdhouses? Use the equation from part (a) to solve the problem.