Question

danny and his friends started a country band, big hats and belt buckles, and they are about to perform their first ever concert! the concert venue will pay them a flat fee plus a fraction of the ticket sales.

this table shows the relationship between the number of concert tickets sold, \\(x\\), and the amount of money (in dollars) that danny and his friends earn, \\(y\\).

\\(\

$$\begin{array}{|c|c|}\\hline x \\text{ (tickets)} & y \\text{ (dollars)} \\\\\\hline 20 & \\$93 \\\\\\hline 21 & \\$95 \\\\\\hline 22 & \\$97 \\\\\\hline 23 & \\$99 \\\\\\hline\\end{array}$$

\\)

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

$$ \frac{y_1}{x_1} = \frac{93}{20} = 4.65 $$

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

$$ \frac{y_2}{x_2} = \frac{95}{21} \approx 4.52 $$

Compare the ratios to determine proportionality

$$ 4.65 eq 4.52 $$

Answer:

• yes
• no (Correct answer)