Question

Steve started an after-school homework club. The club starts with 6 members and 3 more students join each

week. Define variables and write an equation to model the number of students in the club.

Answer 1

• y: students in the club
• x: weeks after it was formed
• model: y = 3x +6

Explanation:

We are told to model the number of students in the club. That is the dependent variable, so we will assign 'y' to that quantity. The number of students in the club is a function of the number of weeks since it was formed, so we can assign 'x' to that independent variable.

The initial value of y is 6, and it increases by 3x (that is, 3 students each week). The model of the number of homework club students can be ...

y = 3x +6