Question

Mitchell claims that when plotting a point on a number line, the value has to be at one of the labeled intervals. Lisa thinks that a point can be anywhere on the number line. Who is correct?

A) Mitchell
B) Lisa
C) Both are correct
D) None of the above

Answer 1

Lisa is correct; points can be anywhere on the number line, not just at labeled intervals. This concept also applies to indifference curves in economics, where any point can represent a level of utility.

Step-by-step explanation:

Between Mitchell and Lisa, Lisa is correct about plotting points on a number line. Any point on the number line can represent a value, and it does not need to be at one of the labeled intervals. For example, if the number line has marks at every whole number, but you need to plot the number 2.5, this point would be located exactly halfway between the 2 and 3 on the number line. In economics, when discussing the indifference curve.

such as Lilly's shown on curve Um, the principle is the same. Unlabeled points, such as those between A, B, C, and D, represent combinations of books and doughnuts that can provide the same level of utility to Lilly. These points do not have to be on specifically marked intervals to exist and have meaning on the curve.