3.03 Average rate of change
Interactive practice questions
The daily net profit of an upmarket restaurant can be modeled by the equation $y=-18x^2+504x$y=−18x2+504x, where $x$x is the number of customers.
Find the value of $y$y at $x=0$x=0.
Find the value of $y$y at $x=13$x=13.
Determine the average rate of change in net profit between $x=0$x=0 and $x=13$x=13.
The population of wallabies in a particular area can be modeled by the equation $y=15+5^x$y=15+5x, where $x$x is the number of years from now.
The path of water projected from a fountain can be modeled by the equation $y=-20x^2+80x$y=−20x2+80x, where $x$x is the horizontal distance from the nozzle and $y$y is the height.
The value of a particular painting can be modeled by the equation $y=100\left(2^x\right)$y=100(2x), where $x$x is the number of years from now.