Connecting Proportional Relationships and the Equation

Does the table show a proportional relationship? If so, what is the equation?

• Yes, y = 6x

• No, this is not proportional

• Yes, y = 12x

Choose the equation that can be used to find the cost, C, for any number of guests, n.

• C = 2n

• 1n = 20C

• n = 2C

• C = n + 20

Given the table of values for the proportional relationship, what is the equation of the line?

What is the constant of proportionality?

• 4

• 12

• 3

• 1/3

The total number of washcloths, y, contained in, x, packages. If there were 8 packages, which of the following equations best represents this graph?

• y = 8 + x

• y = 8 - x

• y = 8x

• y = 8/x

• y = x + 4
• 5x = y
• y = x + 5
• x/5 = y

Which equations represents the relationship between pounds of food (y) and bags of dog food (x)?

• y=10x

• y=3x

• y=3x+1

• y=x+3

The graph shows the relationship of the amount of time (in seconds) to the distance (in feet) run by a jaguar.

Is the distance run by the Jaguar proportional to the time? Why or why not?

• Yes because the graph creates a straight line that passes through the origin.

• No because the graph does not create a straight line.

• No because the graph does not pass through the origin.

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.

Is this is a proportional linear equation? Explain.