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`

Step-by-step 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`