Question
upstudy study bank question image url

nment
A company charges to make one monogrammed shirt, but reduces this cost by per shirt for each additional shirt ordered up to 100 shirts. If the
of an order is , how many shirts were ordered?
If the cost of an order is , shirts were ordered. (Simplify your answer.)

Ask by Ortiz Davison. in the United States
Mar 14,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

60 shirts were ordered.

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

The Deep Dive

To find out how many shirts were ordered, we can start with the total cost equation. The cost of each shirt decreases by $0.10 for each additional shirt ordered. So, if is the number of shirts ordered, the cost per shirt becomes
Thus, the total cost for shirts is
Setting this equal to $846 gives:
Expanding and rearranging gives the quadratic equation:
Multiplying through by 10 to eliminate decimals yields:
Applying the quadratic formula :
Calculating inside the square root:
This results in two possible solutions:
  1. (not possible as it exceeds 100).
  2. .
So, the number of shirts ordered is .

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