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

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=(y)/(x) \\ \\ k=(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`