Question

Peter played his favorite video game for 10 hours last week. Today, Peter's parents restricted him to 5 additional hours each week for the next 8 weeks. Create the function, f(x), that models Peter's total video game time, and explain what each number in the situation represents graphically, using complete sentences

Answer 1

Answer:

answer by blackstorm:

Let

x--------> the number of weeks

f(x)------->Peter's total video game time in hours

we know that

$f(x)=5x+10$

The domain of the function is the interval [0, 8]

The y-intercept of the function is the point (0,10)

is the initial amount of hours Peter's played

The slope of the function is equal to  

Is the rate at how many hours he is playing extra each week

using a graph tool

see the attached figure