Question

When a song is sold by an online music store, the store takes some of the money, and the singer gets the rest. The graph below shows how much money a pop singer makes given the total amount of money brought in by one popular online music store from sales of the song. Identify the constant of proportionality between dollars earned by the pop singer and dollars brought in by sales of the song.

A) 2
B) 4
C) 1/2
D) 1/4

Answer 1

The constant of proportionality between dollars earned by the pop singer and dollars brought in by sales of the song can be found by calculating the slope of the line on the graph. The correct constant of proportionality in this case is 1/2.

Step-by-step explanation:

The constant of proportionality between dollars earned by the pop singer and dollars brought in by sales of the song can be found by examining the graph. To identify the constant of proportionality, we need to determine the relationship between the singer's earnings and the total amount of money brought in by the online music store. This can be done by finding the slope of the line on the graph.

By finding two points on the line (x, y), we can calculate the slope using the formula: slope = (change in y) / (change in x). In this case, the change in y represents the change in the singer's earnings and the change in x represents the change in the total amount of money brought in by sales of the song.

Once we have the slope, we can interpret it as the constant of proportionality between the singer's earnings and the total amount of money brought in by the online music store. Therefore, the correct option is C) 1/2.