Eva played her favorite video games for 14 hours last week. Today, evas parents restricted her to 4 hours each week for the next 7 weeks.

Create the function, f (x) that models evas total video game time and explain what each number in the situation respresents using complete sentences.

She needs to have 4 hours a week for the next 7 weeks.

To make this true we know need 4x, x as for week (time).

We also need to have it done with 7 weeks, so we will need 7 weeks x 7 days which would be 49 days total.

Now to put it together, 4 (x) and place the number of weeks to get the total number of hours. Example on week 7 hour number of hours she played is (4*7) = 28 hours total.

f (x) = 4x + 14 is the function.

14 is from the first week. Therefore, that's the function of the total hours she played.