Answer:
Up to 15 team members, company A charges less for selling T-shirts than company B.
Step-by-step explanation:
<u>Company A:</u>
Logo setup fee = $50
Price per T-shirt = $15
<u>Company B:</u>
Logo setup fee = $95
Price per T-shirt = $12
If your soccer team buys only one T-shirt;
Company A would charge: $50 + 1($15) = $65
Company B would charge: $95 + 1($12) = $107
In this case, company A is cheaper by $107 - $65 = $42
If your soccer team buys two T-shirts;
Company A would charge: $50 + 2($15) = $80
Company B would charge: $95 + 2($12) = $119
In this case Company A is cheaper by Company B by $39
If your soccer team buys 3 T-shirts;
Company A would charge: $50 + 3($15) = $95
Company B would charge: $95 + 3($12) = $131
In this case Company A is cheaper by Company B by $36
So company A is charging less than company B by $42, $39, $36 respectively for 1 T-shirt, 2 T-shirts and 3 T-shirts.
This forms an arithmetic sequence where the common difference (d) is $3
Let's say company A charges the same amount of money as company B when x number of T-shirts are bought.
How many T-shirts would those be?
$50 + $15x = $95 + $12x
$15x - $12x = $95 - $50
$3x = $45
x = $45 ÷ $3 = 15 T-shirts
So up to 15 team members, company A charges less for selling T-shirts than company B.
