Linear Proportional

Trenton sells 3 pounds of barbeque for $28.74. If the cost of the barbeque directly varies with the number of pounds sold, which of the following does not reflect the same relationship?

• 6 pounds of barbeque for $57.48

• 9 pounds of barbeque for $82.26

• 12 pounds of barbeque for $114.96

• 15 pounds of barbeque for $143.70

Which table shows a relationship that is proportional?

• A

• B

• C

• D

Consider the equation: y = 12x + 1.
If y represents the total number of cookies, which situation best describes the equation?

• After purchasing x dozen cookies, one additional dozen costs $1

• After purchasing x dozen cookies, one cookie is free

• After purchasing x dozen cookies, the next dozen is free

• After purchasing x dozen cookies, one additional cookie costs $1

Write the slope intercept equation for the line shown on the coordinate plane.

• f(x) = 3x - 1

• f(x) = -3x - 1

• f(x) = 1/3x + 1

• f(x) = 1/3x - 1

Write an equation of the line given m = 1 and b = 4

• y = 4x + 1

• y = x - 4

• y = -1x + 4

• y = x + 4

Convert the equation 3x -5y = -10 to slope intercept form.

• y = -3/5x - 2

• x = 5/3y - 10/3

• x = -5/3 + 10/3

• y = 3/5x + 2

Which situation describes a proportional relationship?

• Justin saves $5.50 every month to contribute to his college fund.

• Alyana bakes 3 dozen cookies every hour to add to the one dozen cookies she has already baked

• Endy begins with 15 cans and collects 30 cans from each classroom to donate to the Houston Food Bank

• Sanaa has painted 18 square feet of fence and plans to paint 42 square feet of fence every hour until she's finished

If a line was drawn through the points, why would this line show a proportional relationship?

• It is not curved

• It is a vertical line

• It connects all the dots

• It goes through the origin

What can you use to represent linear relationships?

• verbal descriptions

• equations

• graphs

• tables

• all of the above

Which graph shows a proportional relationship between x and y?

• F

• G

• H

• J