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.

Easy

3min

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.

Easy

4min

Consider a function which takes certain values, as shown in the table below.

Medium

5min

Consider a function which takes certain values, as shown in the table below.

Medium

5min

Outcomes

A1.N.Q.A.1

Use units as a way to understand real-world problems.*

A1.F.IF.B.6

Calculate and interpret the average rate of change of a function (presented symbolically or as a table) over a specified interval. Estimate and interpret the rate of change from a graph.*

A1.MP1

Make sense of problems and persevere in solving them.

A1.MP2

Reason abstractly and quantitatively.

A1.MP3

Construct viable arguments and critique the reasoning of others.

A1.MP4

Model with mathematics.

A1.MP6

Attend to precision.

A1.MP8

Look for and express regularity in repeated reasoning.

4.03 Average rate of change

Interactive practice questions