Question
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.)
A company charges
of an order is
If the cost of an order is
Ask by Ortiz Davison. in the United States
Mar 14,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
60 shirts were ordered.
Solution

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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:
-
(not possible as it exceeds 100). -
.
So, the number of shirts ordered is
.