Word problem Question

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 model's Eva's total video game time and explain what each number in the situation represents graphically, using complete sentences.

Answer 1

let x represent the number of weeks.

so, f(x)= 14+4x

slope: 4

y-intercept: if x=0 then y=14 so (0,14)

x-intercept: if y=0 then x=- 14/4 so (-14/4,0)

since restriction is for 7 weeks so: 0≤x≤7