Proportional Relationships

Front

What is the origin in the coordinate plane?

Back

The origin is the point (0, 0) where the x-axis and y-axis intersect.

Tags

CCSS.5.G.A.1

Front

Write the equation for a proportional relationship where y is 18.50 times x.

Back

y = 18.50x

Tags

CCSS.7.RP.A.2C

Front

What does k represent in the equation y = kx?

Back

k represents the constant of proportionality.

Tags

CCSS.7.RP.A.2C

Front

Is the graph of a proportional relationship a straight line that passes through the origin?

Back

Yes, a proportional relationship is represented by a straight line that passes through the origin.

Tags

CCSS.7.RP.A.2D

Front

If y = 0.2x represents a discount, what does the 0.2 represent?

Back

The 0.2 represents a 20% discount on the item.

Front

How do you determine if a relationship is proportional?

Back

A relationship is proportional if it can be expressed as y = kx, where k is a constant.

Tags

CCSS.7.RP.A.2A

Front

What is the constant of proportionality in the equation y = 5x?

Back

The constant of proportionality is 5.

Tags

CCSS.7.RP.A.2B

Front

If y = 3x and x = 4, what is the value of y?

Back

y = 3 * 4 = 12.

Tags

CCSS.6.EE.C.9

Front

What is the slope of the line represented by the equation y = 2x + 1?

Back

The slope is 2, but this line is not proportional because it does not pass through the origin.

Tags

CCSS.8.EE.B.5

Front

If a store offers a discount represented by y = 0.15x, what is the discount for an item that costs $100?

Back

The discount is y = 0.15 * 100 = $15.

Tags

CCSS.7.RP.A.3