A community for students.
Here's the question you clicked on:
 0 viewing
TheJP
 11 months ago
Peter played his favorite video game for 10 hours last week. Today Peter's parents restricted him to 5 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.
TheJP
 11 months ago
Peter played his favorite video game for 10 hours last week. Today Peter's parents restricted him to 5 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.

This Question is Closed

TheJP
 11 months ago
Best ResponseYou've already chosen the best response.0@marigirl I feel bad for asking you so many questions :(

theEric
 11 months ago
Best ResponseYou've already chosen the best response.3Hi! I can help intermittently! If there's something I say that you don't understand, just let me know. Do you know what the independent variable will be?

theEric
 11 months ago
Best ResponseYou've already chosen the best response.3Yep! Well, it mentions last week, too. So we should probably consider all 9 weeks. The independent variable, then, will be "weeks." Since we're writing your function as \(f(x)\) because the problem says so, we will say that \(x\) stands for the week number. How does that sound?

theEric
 11 months ago
Best ResponseYou've already chosen the best response.3Okay! So, we'll say that "today" is week 0. I changed my mind about including last week. I mean, I don't think that's what the problem is going for. So, at \(x=0\), meaning zero weeks have passed, how many hours total have been played.

TheJP
 11 months ago
Best ResponseYou've already chosen the best response.0if we have 0 weeks. then 0 hours?

theEric
 11 months ago
Best ResponseYou've already chosen the best response.3Nope! Good guess, but Peter has some hours under his belt already.

theEric
 11 months ago
Best ResponseYou've already chosen the best response.3Right! So, at \(x=0\), we see that \(f(0)=10\). Do you know the name for the value of the function when \(x=0\)? Starts with an 'i.'

theEric
 11 months ago
Best ResponseYou've already chosen the best response.3Close! Not in meaning, but the spelling is close. interc

theEric
 11 months ago
Best ResponseYou've already chosen the best response.3You're right! :) So, if you have \(f(x)=mx+b\) for a line, where is the intercept? (Hint, set \(x=0\))

theEric
 11 months ago
Best ResponseYou've already chosen the best response.3Right! The intercept is \(10\ \rm hours\) and \(b\) in the equation. So, when we finish, make sure you point out that the number "10" indicates the total hours played at the start of today, the "intercept." "Intercept will probably be a key word.

theEric
 11 months ago
Best ResponseYou've already chosen the best response.35 hours per week, what does that tell you?

theEric
 11 months ago
Best ResponseYou've already chosen the best response.3every one week, you gain five hours. If you have some scratch paper, it might help you see the picture by plotting this! Remember, start at \(f(0)=10\) !
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.