Question

Fishing Adventures rents small fishing boats to tourists for day-long fishing trips. Each boat can only carry 1200 pounds of people and gear for safety reasons. Assume the average weight of a person is 150 pounds. Each group will require 200 Ibs of gear for the boat plus 10 lbs of gear for each person. Create an inequality describing the restrictions on the number of people possible in a rented boat. Graph the solution set on a number line.

Answer 1

that looks very interesting

Answer 2

To write an inequality that illustrates the weight limit for a group of adults and children on the fishing boat, let's assume that the letter a corresponds to the number of adults and the letter c corresponds to the number of children.

So, let's calculate:

The total weight on the boat by people corresponds to:

Now, let's add 200 pounds of equipment to this amount, and remembering that the total weight cannot exceed 1200 pounds, so we will find the following inequality:

Or else:

The next step is to calculate the inequality for the passenger limit, remembering that this number cannot exceed 8:

Thus, we find a system of linear inequalities:

In order to be able to answer which of the groups can safely rent a boat, we will make the following calculations substituting the values in the inequalities found.

Group A has 4 adults and 2 children:

Group B has 3 adults and 5 children:

Group C has 8 adults and 0 children:

Explanation:

easy