Question

Eva played her favorite video game for 14 hours last week. Today, Eva's parents restricted her to 4 additional hours each week for the next 7 weeks. Create the function, f(x), that models Eva's total video game time, and explain what each number in the situation represents graphically, using complete sentences.

Answer 1

The function would be:
f(x) = 14 + 4x; 0 ≤ x ≤ 7

The y-intercept would be 14. This is the point when the line would hit the y-axis. The slope would be 4 and the range is 0 to 7. At x =7, the value of the function would be 42.