Question

After a shipwreck, Gary is stranded on a desert island. He needs to build a shelter, so he makes an axe using materials from the wreckage and starts cutting down trees. There is a proportional relationship between the number of days Gary is stranded on the island, x, and the total number of trees he cuts down, y. x (days) y (trees) 8 N 3 12 4 16 5 20 Write an equation for the relationship between x and y. Simplify any fractions. y = Submit

Answer 1

Explanation:

A proportional relationship means that the relationship between x and y is:

$y=kx$

Where k is called the constant of proportionality.

This constant, from the equation above is:

$k=\frac{y}{x}$

To find it we have to divide each y by its corresponding x in the table:

The constant of proportionality is 4

Answer:

y = 4x