Question

There was a fair at Brad's high school this weekend. It was open for 10 hours on Saturday and the ticket sales were recorded. The ticket sales for Saturday can be approximated by the equation y = 4.6x - 12.2. What was the approximate rate of change for the number of tickets sold?

10 tickets/hour

12.2 tickets/hour

7.6 tickets/hour

4.6 tickets/hour

Answer 1

The rate of change is 4.6 tickets/hour.

Explanation:

The equation that represents the ticket sales is the equation of a line:

y = 4.6*x - 12.2

The equation of any given line can be writen by the following formula:

y = m*x + b

Where "m" is the slope of the line, or the rate of change, while b is the value for "y" when "x" is zero. Therefore in this case the rate of change is the number multiplying "x", so 4.6 tickets/hour.