Question

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