Question

You plan to start taking an aerobics class. Nonmembers pay ​$4 per class. Members pay a ​$10 monthly fee plus an additional ​$2 per class. The monthly​ cost, y, of taking x classes can be modeled by the following linear system.

Answer 1

Solution:

Let x denotes the no. of classes in a month and y denotes the monthly cost.

Monthly cost(y) = (non-members cost) + (members cost)

y = 4x + (10 + 2x)

y = 6x + 10

$\therefore$ y + 6x + 10 is the linear equation that models the monthly cost(y) of taking x classes.