Shelley loves to wear socks with crazy patterns. She finds a great deal for these kinds of socks at her favorite store, Rock Those Socks.
There is a proportional relationship between the number of pairs of socks that Shelley buys, x, and the total cost (in dollars), y.
A proportional relationship between the number of pairs of socks that Shelley buys, x, and the total cost (in dollars), y, can be written as:
y = kx
where k is the constant of proportionality. This means that for every increase in the number of pairs of socks, the total cost will also increase proportionally.
For example, if Shelley buys 3 pairs of socks and the constant of proportionality is 2, the total cost would be:
y = 2 * 3
y = 6 dollars
If she buys 5 pairs of socks, the total cost would be:
y = 2 * 5
y = 10 dollars
In this scenario, the constant of proportionality remains the same, indicating that the cost per pair of socks is consistent regardless of the quantity purchased.