Question

Samir works 15 hours for every 19 hours Batman 2 works. If x represents the number of hours that Samir works and y represents the hours Batman 2 works, what equation correctly models this relationship?

a) x = 15y
b) y = 15x
c) x = 19y
d) y = 19x

Answer 1

The correct equation to model the relationship between the hours Samir works (x) and the hours Batman 2 works (y), where Samir works 15 hours for every 19 hours Batman 2 works, is x = (15/19)y, represented by option c) x = 19y.

Step-by-step explanation:

The student is asking about the equation that models the relationship between the hours Samir works (represented by x) and the hours Batman 2 works (represented by y). Specifically, Samir works 15 hours for every 19 hours Batman 2 works. To establish the correct relationship between x and y, we'll need to set up a proportion where x/y = 15/19. This leads us to the equation x = (15/19)y, essentially stating that for every 19 hours Batman 2 works, Samir will have worked 15 hours. Therefore, the correct equation that models this relationship is c) x = 19y.