Question

John is at a local bait shop; he wants to buy bait for his fishing trip. At the store, they are selling love 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 the system of inequalities.

Answer 1

Answer:

1. $12x+7y\le 63$
2. $x\ge 3$

Step-by-step explanation:

Let us assume that, x be the amount of live bait and y be the amount of natural bait.

The price of live bait is $12 per pound and that of the natural bait is $7 per pound.

As John has a budget of $63, so he spend any amount less than or equal to $63, not more than that. So the inequality for this will be,

$12x+7y\le 63$

John would like to get at least 3 pounds of live bait, so the inequality for this will be,

$x\ge 3$