Fishing Adventures rents small fishing boats to tourists for day long fishing trips.
•Each boat can hold at most eight people

•Additionally, each boat can only carry 1,200 pounds of people and gear for safety reasons

•Assume on average an adult weighs 150 pounds and a child weighs 75 pounds

•Each group will require 200 pounds of gear in addition to the weight of the group

a. Write an inequality that illustrates the weight limit for a group of adults and children on the fishing boat and a second inequality that represents the total number of passengers in the fishing boat. Graph the solution set to the inequalities.

Group A has 4 adults and 2 children.
Group B has 3 adults and 5 children.
Group C has 8 adults and 0 children.

Which of the groups if any can safely rent a boat? What other combinations are possible?

Instructions:

You are to write two inequalities, one solving the [total number of pounds] And the other [total number of people] *REQUIRES 200 POUNDS OF GEAR IN ADDITION

PLEASE HELP ASAP!! I REALLY NEED HELP AND IS DUE IN 20 MINUTES PLEASE!!

THANK YOU! FIRST TIME USING BRAINLY PLEASE HELP!!

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:

[tex]150a + 10a = 160a\\ 75c + 10c = 85c[/tex]

The total weight on the boat by people corresponds to:

[tex]160a + 85c [/tex]

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:

[tex]160a + 85c + 200 \leq 1200[/tex]

Or else:

[tex]160a + 85c\leq 1000[/tex]

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

[tex]a + c \leq 8[/tex]

Thus, we find a system of linear inequalities:

[tex]160a + 85c\leq 1000[/tex]

[tex]a + c \leq 8[/tex]

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.

[tex]160(4) + 85 (2) + 200 = 1010\leq 1200[/tex]

[tex]160(3) + 85 (5) + 200 = 1105\leq 1200[/tex]

[tex]160(8) + 200 = 1480\leq 1200[/tex]

Therefore, through the calculations it can be stated that group 1 and group 2 can safely rent a boat, but group 3 exceeds the weight limit.

There are other possible combinations that can be found graphically.

Find out more information about inequality here:

https://brainly.com/question/14361489

Answer:

A

Explanation:

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