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larisa86 [58]
3 years ago
14

John is at a local bait shop; he wants to buy bait for his fishing trip. At the store, they are selling live bait for $12 a poun

d and natural bait for $7 a pound. John would like to get at least 3 pounds of live bait, but he only has a budget of $63. Let x be the amount of live bait and y be the amount of natural bait. Model the scenario with a system of inequalities.
PLZ ASAP!!!!
Mathematics
1 answer:
Monica [59]3 years ago
5 0

The system of inequalities is:  x\geq 3 and 12x+7y\leq 63

<em><u>Explanation</u></em>

Let x  be the amount of live bait and y  be the amount of natural bait.

As John would like to get at least 3 pounds of live bait, so the first inequality will be:  x\geq 3

Given that, price of live bait is $12 per pound and natural bait is $7 per pound. Also, he only has a budget of $63. That means, he can spend maximum $63

So, the cost for buying x pound of live bait =\$12x and the cost for buying y pound of natural bait =\$7y

Thus, the second inequality will be:  12x+7y\leq 63


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