Question

Peter played his favorite video game for many hours last week. Today, Peter's parents restricted him to only a few hours each week for the next several weeks. The function, f(x) = 4x + 12 models Peter's total video game time. How many total hours of gaming would Peter have after 6 weeks? Next, explain what each number in the function represents in the context of the problem, using complete sentences. Then explain how to graph the function on a coordinate grid.

Answer 1

f(X) = 10 + 5X

 

f(X) is the total hours for that week

 

X is the week number after this plan was put in place

 

Graphically:

 

10 is the y-intercept; this is when X=0 which is when

    the plan went into effect

 

5 is the change in the y-value for a change of 1 in the  

   X-value; this will raise the number of games he can

   play by 5 each additional week

Answer 2

After 6 weeks Peter would have 36 total hours of gaming. All you have to do is plug 6 in for x, so you would multiply 6 * 4 = 24 and add 12 which equals 36. The number 12 in the equation equals the number of hours Peter played last week, 4 equals the number of hours Peter's parents let him pay per week, and x equals the number of weeks Peter plays his favorite game. Hope this helps.