The cost of producing copper tubing is $1 per metre.Production costs are measured on the vertical axis and quantity of copper tubing is measured on the horizontal axis.Which of the following would have the smallest slope?
A) a line representing the quantity of tubing measured in millimetres
B) a line representing the quantity of tubing measured in centimetres
C) a line representing the quantity of tubing measured in metres
D) a line representing the quantity of tubing measured in decimetres

Question

The cost of producing copper tubing is $1 per metre.Production costs are measured on the vertical axis and quantity of copper tubing is measured on the horizontal axis.Which of the following would have the smallest slope?  
A) a line representing the quantity of tubing measured in millimetres 
B) a line representing the quantity of tubing measured in centimetres 
C) a line representing the quantity of tubing measured in metres 
D) a line representing the quantity of tubing measured in decimetres

Quizplus · Accepted Answer

The slope of a line on a graph represents the rate of change. When the quantity of copper tubing is measured in millimetres, the scale is much smaller than when measured in metres, centimetres, or decimetres. This means for the same cost increase, the quantity measured in millimetres would increase by a larger amount compared to the other units, resulting in a flatter (smaller slope) line on the graph.

The Cost of Producing Copper Tubing Is $1 Per Metre