Question

stacy and mitch are making charm bracelets to sell at a renaissance festival. they have used their savings to cover the costs of the materials, but hope to make a profit after selling the bracelets.

this table shows the relationship between the number of bracelets they sell, \\(x\\), and their profit (in dollars), \\(y\\).

according to the values in the table, do \\(x\\) and \\(y\\) have a proportional relationship?

yes
no

Explanation:

Calculate the ratio of y to x for the first data point

$$ \frac{y_1}{x_1} = \frac{61}{29} \approx 2.103 $$

Calculate the ratio of y to x for the second data point

$$ \frac{y_2}{x_2} = \frac{79}{32} \approx 2.469 $$

Compare the ratios to determine proportionality

$$ \frac{61}{29} eq \frac{79}{32} $$

Answer:

• yes
• no (Correct answer)