Question

Wendy played her favorite video game for 8 hours last week. Today Wendy's parents restricted her to 6 hours each week for the next 9 weeks. Create the function, f(x), that models Wendy's total video game time and explain what each number in the situation represents, using complete sentences.

Answer 1

This is going to be a linear function. On the horizontal axis, you will have weeks. On the vertical axis will be weeks. The slope of the line is 6/1 = 6, since she plays 6 hrs/week. At week 0 (the y-axis), the value will be 8, since that is the initial number of hours played.

Therefore, the equation is:
f(x) = 6x+8
f(x) is # hours
x = #'d weeks