A ball dropped from a height of $24$24 $meters$ will bounce back off the ground to $60%$60% of the height of the previous bounce (or the height from which it is dropped when considering the first bounce).

Medium

2min

Consider the function $f\left(x\right)=6\left(1-0.09\right)^x$f(x)=6(1−0.09)x.

Easy

1min

The table of values below represents an exponential decay function.

Medium

2min

Outcomes

A.SSE.A.1.B

Interpret complicated expressions by viewing one or more of their parts as a single entity.

A.SSE.A.2

Use the structure of an expression to identify ways to rewrite it.

A.SSE.B.3.C

Use the properties of exponents to transform expressions for exponential functions.

F.IF.C.8

Write a function defined by an expression in different but equivalent forms to reveal and explain different properties of the function.

F.IF.C.8.B

Use the properties of exponents to interpret expressions for exponential functions.

F.LE.A.2

Construct linear and exponential functions, including arithmetic and geometric sequences, given a graph, a description of a relationship, or two input-output pairs (include reading these from a table).

F.LE.B.5

Interpret the parameters in a linear or exponential function in terms of a context.

5.03 Exponential decay

Interactive practice questions