Question

Wendy played her favorite video game for 8 hours last week. Today, Wendy's parents restricted her to 6 hours each week for the next 9 weeks. Create the function, f(x), that models Wendy's total video game time, and explain what each number in the situation represents graphically, using complete sentences.

Answer 1

@nincompoop

Answer 2

@jim_thompson5910

Answer 3

what does x represent?

Answer 4

any ideas?

Answer 5

Oh umm how many hours? Really unsure about this.

Answer 6

x is the number of weeks actually

Answer 7

let's start at the top: "Wendy played her favorite video game for 8 hours last week"

so far, she's only played 8 hours

Answer 8

"Today, Wendy's parents restricted her to 6 hours each week for the next 9 weeks"

how many more hours does she play for 1 week?

Answer 9

Oh right! Sorry, multitasking with problems.

Six?

Answer 10

yes, so we have this amount total

8 + 6

Answer 11

in week 2, we have

8 + 6*2

Answer 12

in week x, we have

8 + 6*x

Answer 13

You can rearrange that to get y = 6x + 8

the function is f(x) = 6x + 8

Answer 14

plug in x = 0 and you'll see that f(x) is 8
plug in x = 1 and you'll see that f(x) is 14
etc etc

so it fits the model

Answer 15

Okay, what would x represent?

Answer 16

@jim_thompson5910

Answer 17

I stated that above

Answer 18

Oh, my mistake! Thank you so much! Would you mind helping me with one more?

Answer 19

sure, go ahead