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Juli2301 [7.4K]
3 years ago
6

Will is selling T-shirts for $15 and sweatshirts for $20 at the basketball game. Wills club team needs to raise over $200 for th

e upcoming tournament. Sketch graph that will represent both number of T-shirts and sweatshirts he must sell to reach his goal?

Mathematics
1 answer:
Paladinen [302]3 years ago
8 0

Answer:

X = 0     4     8     12

Y =  10   7     4      1

Step-by-step explanation:

Given:

Cost of one T shirt = $15

Cost  of one sweater = $ 20

To find :

The graph that will represent both number of T-shirts and sweatshirts = ?

Solution:

Let the number of t-shirts be x

The number of sweaters  be y

They want to rise a found of $200

Then  the equation to represent this situation is

15x + 20y = 200

By trial and error method

15(12) + 20(1) = 200

15(8) + 20(4) = 200

15(0) + 20(10) = 200

15(4) + 20(7) = 200

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I don't usually do calculus on Brainly and I'm pretty rusty but this looked interesting.

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Let's do the outer integral over x.  It can go the full range from 0 to 1 without violating the constraint.  So the upper limit on the outer integral is 1.

Next integral is over y.  y ≤ 1-x-z.   We haven't worried about z yet; we have to conservatively consider it zero here for the full range of y.  So the upper limit on the middle integration is 1-x, the maximum possible value of y given x.

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3 years ago
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