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. x (tickets) y (dollars) 20 $93 21 $95 22 $97 23 $99 according to the values in the table, do x and y have a proportional relationship? yes no

Explanation:

Step1: Recall proportional - relationship condition

For a proportional relationship $\frac{y}{x}=k$ (constant).

Step2: Calculate $\frac{y}{x}$ for each pair

For $x = 20,y = 93$, $\frac{y}{x}=\frac{93}{20}=4.65$.
For $x = 21,y = 95$, $\frac{y}{x}=\frac{95}{21}\approx4.52$.
For $x = 22,y = 97$, $\frac{y}{x}=\frac{97}{22}\approx4.41$.
For $x = 23,y = 99$, $\frac{y}{x}=\frac{99}{23}\approx4.30$.
Since $\frac{y}{x}$ is not a constant value for all pairs of $x$ and $y$ values in the table.

Answer:

no