Unit 6: Proportional Relationships Midterm Review (copy)

Tell whether the table is proportional. If it is state the constant of proportionality.

Proportional All the ratios y/x are the same. The constant of proportionality is 5

Non-Proportional. All the y/x ratios are not the same

What is the constant of proportionality show in the table?

2/3 or 0.66666666666666666

Tell whether the equation is proportional. If it is state the constant of proportionality.

Proportional, C.O.P. is 7

Non-Proportional

What is the constant of proportionality show in the graph?

Proportional, C.O.P is 0.5 or 1/2

What is the constant of proportionality show in the graph?

Proportional, C.O.P is 1.5 or 3/2

Non-Proportional, does not pass through the origin

Non-Proportional, is not a straight line

How can you tell if a graph represents a proportional relationship?

The graph must form a straight line AND the line must pass through the origin (0,0).

How can you tell if a table of (x, y) values represents a proportional relationship?

Find all the ratios of y/x. If all the ratios are equivalent, then it's a proportional relationship.

How do you find the constant of proportionality?

The COP = y/x

An equation representing a proportional relationship must be in this form.

y = kx , where k is the constant of proportionality (also sometimes written as y=ax or y=mx)

Ella competed 15 math problems in 6 minutes. Find the constant of proportionality that represents the number of math problems y she completed in x minutes. Then write an equation to represent the situation.

COP is 2.5 15/6
Equation: y = 2.5x

Sam reads 18 books in 4 months. The equation y = 4.5x represents the situation where y represents the number of books and x represents the number of months. Use the equation to determine the number of books Sam will read in 6 months.

27 books
y = 4.5(6)