Question
upstudy study bank question image url

Readiness Check: Modeling and Analysis of Bivariate Data Question 4 The cost in dollars \( C(x) \), where \( x \) is the number of miles driven, of renting a car for a day is \( C(x)=0.45 x+35 \). (a) Which of the following best describes the dependent variable in this model? Select an answer (b) Which of the following best describes the independent variable in this model? v Select an answer Cost Miles sulmit

Ask by Erickson Malone. in the United States
Mar 18,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

- (a) Cost - (b) Miles

Solution

Let's analyze the given function \( C(x) = 0.45x + 35 \) to answer the questions. ### (a) Dependent Variable The dependent variable is the variable that depends on the value of another variable. In this case, \( C(x) \) represents the cost of renting a car, which depends on the number of miles driven \( x \). Therefore, the dependent variable in this model is: **Cost** ### (b) Independent Variable The independent variable is the variable that is manipulated or changed in the model. Here, \( x \) represents the number of miles driven, which affects the cost \( C(x) \). Thus, the independent variable in this model is: **Miles** ### Summary of Answers - (a) Cost - (b) Miles If you have any further questions or need additional assistance, feel free to ask!

Answered by UpStudy AI and reviewed by a Professional Tutor

error msg
Explain
Simplify this solution

Beyond the Answer

The equation \( C(x) = 0.45x + 35 \) tells us that the cost of renting the car depends on the number of miles driven. This means that as you drive more miles, the cost increases based on the given rate per mile. Therefore, the dependent variable here is the cost, which varies with the miles driven. In this context, the independent variable is the number of miles driven. You can think of it as the variable you have control over; in this case, the more miles you decide to drive, the more the cost will change according to the equation. So, miles are your independent variable and play a crucial role in determining the total cost. Keep those concepts in mind as you delve deeper into modeling and analyzing bivariate data! Understanding how variables interact with each other is key to making informed decisions, especially in real-world applications like budgeting for a trip.

Try Premium now!
Try Premium and ask Thoth AI unlimited math questions now!
Maybe later Go Premium
Study can be a real struggle
Why not UpStudy it?
Select your plan below
Premium

You can enjoy

Start now
  • Step-by-step explanations
  • 24/7 expert live tutors
  • Unlimited number of questions
  • No interruptions
  • Full access to Answer and Solution
  • Full Access to PDF Chat, UpStudy Chat, Browsing Chat
Basic

Totally free but limited

  • Limited Solution
Welcome to UpStudy!
Please sign in to continue the Thoth AI Chat journey
Continue with Email
Or continue with
By clicking “Sign in”, you agree to our Terms of Use & Privacy Policy