Linear and Proportional Relationships

Write the equation for the table given.

• y = 16x

• y=8x

• y=12x

• not proportional

The graph represents how many chips Rebecca eats per hour. The equation represents the rate that Leila eats chips.

Who will eat more chips in 3 hours?

• Rebecca will eat more chips.

• Leila will eat more chips.

• They will eat the same amount of chips.

The graph below represents how many pencils Tucker used. The equation represents the rate at which Dean uses pencils.

Who used more pencils over 5 days?

• Tucker

• Dean

• They use the same amount of pencils

What type of slope is shown?

• Positive

• Negative

• Zero

• Undefined

A graph needs to be a straight line and goes through _____ to be proportional.

• The origin

• The y-intercept

• The y-axis

• The x-axis

The number of trees and the number of apples are given in the table above.  Determine which statement below is correct.

• The table is not proportional because the unit rate is not constant.

• The table is proportional and the unit rate is 1/13

• The table is proportional and the unit rate is 13.

• The table is not proportional because it doesn't pass through the origin.

A graph needs to go through _____ to be proportional.

• The origin

• The y-intercept

• The y-axis

• The x-axis

What is the Slope (Vertical Distance over Horizontal Distance)?

• 2/5

• 5/2

• -2/5

• -5/2

What is Rate of Change?

• The amount of money you get back when you overpay for something.

• The amount Y changes when X increases by 1.

• The amount of one quantity multiplied by another quantity.

• How much someone changes over their lifetime

The Slope formula is:

• y₁ - y₂

  _________

  x₁ - x₂

• y₂ - y₁

  __________

  x₂ - x₁

• X₂ - X₁

  __________

  Y₂ - Y₁