Question

Your soccer team wants to buy t-shirts. you call two different companies about prices.company a has a 50$ fee to set up the logo, and it is $15 price per T-shirt
company B charges 95 dollars for the logo setup and charges 12 per t-shirt
A few players decide not to get t-shirts. which company has a lower cost?

Answer 1

Answer:

Up to 15 team members, company A charges less for selling T-shirts than company B.

Step-by-step explanation:

Company A:

Logo setup fee = $50

Price per T-shirt = $15

Company B:

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.

Answer 2

Answer:

Company A

Step-by-step explanation:

A) 15 + 50 = 65

B) 95 + 12 = 107

$65\leq 107$

$Company A \leq Company B$

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