Question

a carnival sells tickets at a constant rate. the table and graph below show the relationship between the amount earned in ticket sales, y, and the number of tickets sold, x. you just found that the rate of change for this relationship is 16.8. what does that rate of change mean in the context of this problem? number of tickets sold, x amount earned in dollars, y 4 67.2 12 201.6 20 336 every time the number of dropdown increases by 1, the number of dropdown increases by 16.8 to keep the rate of sales per ticket the same.

Explanation:

En el contexto de este problema, la tasa de cambio representa la relación entre la cantidad ganada (\(y\)) y el número de boletos vendidos (\(x\)). Dado que la tasa de cambio es \(16.8\), significa que por cada boleto adicional vendido (\(x\) aumenta en \(1\)), la cantidad ganada (\(y\)) aumenta en \(16.8\) dólares. Esto se debe a que la tasa de cambio en una relación lineal \(y = mx + b\) (en este caso \(b = 0\) ya que cuando \(x = 0\), \(y=0\)) es la pendiente \(m\), que aquí es el precio por boleto.

Answer:

Every time the number of tickets sold (\(x\)) increases by \(1\), the number of dollars earned (\(y\)) increases by \(16.8\) to keep the rate of sales per ticket the same.