Interactive practice questions
In a laboratory, the number of bacteria in a petri dish is recorded, and the bacteria are found to triple each hour.
Complete the table of values.
| Number of hours passed ($x$x) | $0$0 | $1$1 | $2$2 | $3$3 | $4$4 |
|---|---|---|---|---|---|
| Number of bacteria ($y$y) | $1$1 | $\editable{}$ | $9$9 | $\editable{}$ | $\editable{}$ |
If $y$y represents the number of bacteria at time $x$x, which general equation satisfies this model?
$y=a^x$y=ax
$y=a^{-x}$y=a−x
Find the equation linking the number of bacteria ($y$y) and the number of hours passed ($x$x).
At this rate, how many bacteria will be present in the petri dish after $11$11 hours?
An initial chemical reaction results in a chain of chemical reactions that follow.
The total number of reactions after $t$t seconds is given by the equation $y=4^t$y=4t.
The prize of a scratch ticket gives the winner two options:
Option 1: Receive one payment of $\$20000$$20000 immediately, or
Option 2: Receive one dollar on the first day of winnings, double that (two dollars) on the second day, and so on for a month.
Consider the graph shown.