Recognising and representing proportional relationships between quantities

The table shows the linear relationship between the average height in feet of trees on a tree farm and the number of years since the trees were planted. What is the rate of change of the average height in feet of the trees on the farm with respect to the number of years since the trees were planted?

• 14 ft/yr

• 3 ft/yr

• 7 ft/yr

• 10 ft/yr

Tags

A.3(B)

The table shows a linear relationship between x and y. What is the rate of change of y with respect to x?

Tags

A.3(B)

Find the slope of the graphed line.

The table shows the cost of long distance calls based on the number of minutes used. Is there a constant rate of change, and if so what is it?

• Yes, 10 calls per minute
• Yes, $.10 per minute
• Yes, $.40 per minute
• Not a constant rate

Find the slope of the line that passes through the points (2, 4) and (6, 12)

• 1/2
• -1/2
• 2
• -2

Write an equation for the graph. Use m, for months, and s, for savings. (Remind to use the constant - 1,y)

Determine the unit rate of the graph.

• $40 per yard of fabric

• $20 per yard of fabric

• $3 per yard of fabric

• $4 per yard of fabric

• $12 per 3 yards of fabric

Find the slope of the line that passes through the points

(10, 1) and (5, 2).

• 1/5

• -1/5

• 5

• -5

Find the unit rate

• $3.50 per hour

• $7 per hour

• 5 hours per dollar

• $14 per hour

Which graph is proportional?

• A
• B
• None of the graphs
• All of the graphs are proportional