create and solve real life problem that involves direct variation using the pictures below.Choose only 1picture.The pictures are some of the livelihood of the people in Panganiban,Catanduanes
Sure! Let's choose picture number 3, which shows a fisherman in Panganiban, Catanduanes.
Problem: The amount of fish caught by a fisherman in Panganiban, Catanduanes directly varies with the number of hours spent fishing. If a fisherman spends 5 hours fishing and catches 10 kilograms of fish, how much fish can he catch if he spends 8 hours fishing?
Explanation:
To solve this problem, we first need to understand what direct variation means. In direct variation, two variables are related in such a way that as one variable increases, the other also increases, or as one variable decreases, the other also decreases. In this case, the amount of fish caught (in kilograms) is directly related to the number of hours spent fishing.
We are given that when the fisherman spends 5 hours fishing, he catches 10 kilograms of fish. Let's call the amount of fish caught (y) and the number of hours spent fishing (x).
We can set up a direct variation equation in the form y = kx, where k is the constant of variation.
Using the given values, we can substitute them into the equation to find the value of k:
10 = k(5)
10 = 5k
Dividing both sides of the equation by 5, we find that k = 2.
Now we have the equation y = 2x.
To find out how much fish the fisherman can catch if he spends 8 hours fishing, we can substitute x = 8 into the equation:
y = 2(8)
y = 16
Therefore, if the fisherman spends 8 hours fishing, he can catch 16 kilograms of fish.