3) the girls soccer team is doing a fund- raiser for new soccer uniforms. they need to raise at least $2,000. a local merchant has promised to donate up to 150 plain and deluxe t-shirts to the team with their fundraiser. plain t- shirts sell for $8 each and fancy t-shirts sell for $12 each. write a system of inequalities to represent the given scenario. if the soccer team sells 70 fancy t shirts, what is the minimum number of plan tees they need to sell?

Step-by-step explanation:

Let x represent the number of plain T-shirts that were sold.

Let y represent the number of fancy T-shirts that were sold.

A local merchant has promised to donate up to 150 plain and deluxe t-shirts to help the team with their fundraiser. This means that

x + y ≤ 150

Plain t- shirts sell for $8 each and fancy t-shirts sell for $12 each. Therefore, the total cost of x plain T-shirts would be 8x and the total cost of x fancy T-shirts would be 12x

They need to raise at least $2,000. This means that

8x + 12y ≥ 2000

If the soccer team sells 70 fancy t shirts, then,

8x + 12 × 70 ≥ 2000

8x ≥ 2000 - 840

8x ≥ 1160

x ≥ 1160/8

x ≥ 145

The minimum number of plain t-shirts that they need to sell is 145

step-by-step explanation:

a.   since the profit made in 2012 is equal to the profit made in 2014, the profit is           symmetric about the line y = 120,000.

step-by-step explanation:

given that megan owns a clothing boutique.

the profits of 2010, 11, are recorded and shown as follows:

years since     2010 0     1     2     3       4       5

profits made in 1000's   39       84     111     120   111     84

we find that profit gradually increases form 2010 to 2013 upto 120,   then starts decreasing.

the profits for 2012 and 2014 are the same while that of 2011 and 2015 are also the same.

this shows that there is symmetry about the line profit = 120000

hence answer is:

a.   since the profit made in 2012 is equal to the profit made in 2014, the profit is           symmetric about the line y = 120,000.

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just needed some points but try socratic