Question

For every 5 sheets of stickers, you buy at a craft store, the total cost increases $10.25.Part A: What is the constant of proportionality?Part B: Write an equation that shows the relationship between the number of sheets, x and the total cost, y.

Answer 1

Solution:

Given that for every 5 sheets of stickers you buy at a craft store, the total

cost increases $10.25. Thus;

Let y be the total cost and x be the number of sheets;

$\begin{gathered} y\propto x \\ \\ y=kx \\ \\ \text{ Where }k\text{ is the constant of proportionality} \end{gathered}$

Part A: Substitute given values, we have;

$\begin{gathered} k=\frac{y}{x} \\ \\ k=\frac{10.25}{5} \\ \\ k=2.05 \end{gathered}$

Thus, the constant of proportionality is 2.05

Part B: The equation that shows the relationship between the number of sheets, x, and the total cost, y is;

$y=2.05x$

ANSWER:

$y=2.05x$