The figure above shows the relationship between the price of a dozen roses and the quantity of roses a florist can sell. The slope between points B and C equals
A) 16.
B) 4.
C) 8.
D) 14.
E) 2.

Question

Quizplus · Accepted Answer

The slope of a line represents the rate of change of one variable with respect to the other variable. In this case, the slope between points B and C is the change in quantity of roses sold divided by the change in price.

From point B to point C, the quantity of roses sold increases from 8 dozen to 16 dozen, which is a change of 8 dozen. The price decreases from $80 to $64, which is a change of $16.

Therefore, the slope between points B and C is:

(change in quantity)/(change in price) = (8 dozen)/($16) = 0.5 dozen/$

Simplifying further, we can express the slope as 4 dozens/$8, which reduces to 0.5 dozen/$.

Therefore, the answer is B) 4.

The Figure Above Shows the Relationship Between the Price of a Dozen