After a shipwreck, Tara is stranded on a desert island. She needs to build a shelter, so she makes an axe using materials from the wreckage and starts cutting down trees. There is a proportional relationship between the number of days Tara is stranded on the island, x, and the total number of trees she cuts down, y.
Tara cuts down a total of 4 trees in her first 2 days on the island. Write the equation for the relationship between x and y.
Since there is a proportional relationship between the number of days Tara is stranded on the island, x, and the total number of trees she cuts down, y, we can express this relationship using the equation y = kx, where k is the constant of proportionality.
To find the value of k, we can use the given information that Tara cuts down a total of 4 trees in her first 2 days on the island.
So, when x = 2, y = 4.
Substituting these values into the equation, we get:
4 = k * 2
Dividing both sides of the equation by 2, we have:
k = 4/2
Simplifying, we find that k = 2.
Therefore, the equation for the relationship between x and y is:
y = 2x