Question
upstudy study bank question image url

The Sugar Sweet Company is going to transport its sugar to market. It will cost \( \$ 3500 \) to rent trucks plus \( \$ 150 \) for each ton of sugar transported. The total cost, \( C \) (in dollars \( ) \) for transporting at tons is given by the following function. \[ C(\mathrm{~m})=150 \mathrm{~m}+3500 \] Answer the following questions. (a) What is the total cost of transporting 12 tons? (b) If the total cost is \( \$ 7100 \), how many tons is the company transporting? \( \square \) tons

Ask by Cole Lambert. in the United States
Mar 17,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

**(a) Total cost for transporting 12 tons: \$5,300** **(b) Number of tons if the total cost is \$7,100: 24 tons**

Solution

Sign in to Unlock Answers for Free!

A Learning Platform Trusted by Millions of Real Students and Teachers.

star-icon Unlock

Answered by UpStudy AI and reviewed by a Professional Tutor

Bonus Knowledge

To answer your questions, let's start with the calculations based on the provided cost function \( C(m) = 150m + 3500 \). (a) To find the total cost of transporting 12 tons, we can substitute \( m = 12 \) into the cost function: \[ C(12) = 150(12) + 3500 \] \[ C(12) = 1800 + 3500 \] \[ C(12) = 5300 \] So, the total cost of transporting 12 tons is **$5300**. (b) If the total cost is \( \$ 7100 \), we can set up the equation: \[ 7100 = 150m + 3500 \] Now, let's solve for \( m \): \[ 7100 - 3500 = 150m \] \[ 3600 = 150m \] \[ m = \frac{3600}{150} \] \[ m = 24 \] Thus, the company is transporting **24 tons**.

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