Need
darryl and janessa have designed a new type of suitcase, and they are raising money on the internet to produce and distribute their line of products.

some of their supporters will make a $150 contribution to receive a small suitcase, and others will make a $300 contribution for a larger suitcase. they need to raise at least $60,000 in order to produce the line of products.

when the final products ship from the factory, the small suitcases will weigh 7.5 pounds, and the large ones will weigh 9 pounds. the maximum weight they can ship on their first run is 2,250 pounds.

let x represent the number of small suitcases, and let y represent the number of larger suitcases. which graph represents the number of small and large suitcases that darryl and janessa can take orders for?

graph c i would say

Step-by-step explanation:

Answer is D.

Step-by-step explanation:

Let x represent the number of small suitcases, and let y represent the number of larger suitcases.

Some of their supporters will make a $150 contribution to receive a small suitcase, and others will make a $300 contribution for a larger suitcase. They need to raise at least $60,000 in order to produce the line of products.

150x + 300y = 60,000

When the final products ship from the factory, the small suitcases will weigh 7.5 pounds, and the large ones will weigh 9 pounds. The maximum weight they can ship on their first run is 2,250 pounds.

7.5x + 9y = 2250

The 2 equations:

150x + 300y >= 60,000

7.5x + 9y <=  2250

Let solve

150x + 300y = 60,000

When x = 0

300y = 60,000

     y = 200

When y = 0

150x = 60000

     x = 400

(0,200) and (400,0)  ---> Blue line

Since the equation is 150x + 300y >= 60,000, so the boundary is above the Blue line

7.5x + 9y =  2250

When x = 0

9y = 2250

     y = 250

When y = 0

7.5x = 2250

     x = 300

(0,250) and (300,0)  --->Red line

Since the equation is 7.5x + 9y <=  2250, so the boundary is below the Red line

Answer is D.

the solution is 12x-6y

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