anonymous
  • anonymous
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.
Mathematics
jamiebookeater
  • jamiebookeater
See more answers at brainly.com
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

Get this expert

answer on brainly

SEE EXPERT ANSWER

Get your free account and access expert answers to this
and thousands of other questions

anonymous
  • anonymous
anonymous
  • anonymous
@marigirl I feel bad for asking you so many questions :(
anonymous
  • anonymous

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

theEric
  • theEric
Hi! 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?
anonymous
  • anonymous
the 8 weeks?
theEric
  • theEric
Yep! 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?
anonymous
  • anonymous
Fantastic
theEric
  • theEric
Okay! 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.
anonymous
  • anonymous
if we have 0 weeks. then 0 hours?
theEric
  • theEric
Nope! Good guess, but Peter has some hours under his belt already.
anonymous
  • anonymous
so 10 from last week?
theEric
  • theEric
Right! 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.'
anonymous
  • anonymous
inverse?
theEric
  • theEric
Close! Not in meaning, but the spelling is close. interc---
anonymous
  • anonymous
intercept?
theEric
  • theEric
You're right! :) So, if you have \(f(x)=mx+b\) for a line, where is the intercept? (Hint, set \(x=0\))
anonymous
  • anonymous
m(0)+b =b
theEric
  • theEric
Right! 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.
anonymous
  • anonymous
Okay
anonymous
  • anonymous
anonymous
  • anonymous
??
anonymous
  • anonymous
theEric
  • theEric
5 hours per week, what does that tell you?
anonymous
  • anonymous
x?
anonymous
  • anonymous
i really have no idea
theEric
  • theEric
every 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 \(f(0)=10\) !

Looking for something else?

Not the answer you are looking for? Search for more explanations.