Question

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 pound 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!!!!

Answer 1

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

Explanation

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:  $12x+7y\leq 63$