Question

A school band performed a concert on four different days. the band sold tickets each day of the concert. The table shows the number of tickets sold and the amount of money collected from ticket sales.

Answer 1

Since the amount collected (y) is proportional to the number of tickets sold (x), then the relation between x and y is of the form:

$y=kx$

Where k is the constant of proportionality.

To find the value of k, substitute the corresponding values of y and x from one row. Take for instance x=50 and y=275, which is the data from day 1:

$\begin{gathered} 275=k\cdot50 \\ \Rightarrow k=\frac{275}{50} \\ \Rightarrow k=5.5 \end{gathered}$

Therefore, the equation that can be used to find y is:

$y=5.5x$