Interactive practice questions
Matches were used to make the pattern attached:
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Complete the table:
| Number of triangles ($t$t) | $1$1 | $2$2 | $3$3 | $5$5 | $10$10 | $20$20 |
|---|---|---|---|---|---|---|
| Number of matches ($m$m) | $\editable{}$ | $\editable{}$ | $\editable{}$ | $\editable{}$ | $\editable{}$ | $\editable{}$ |
Write an equation that describes the relationship between the number of matches ($m$m) and the number of triangles ($t$t).
How many matches are required to make $21$21 triangles using this pattern?
A diver starts at the surface of the water and starts to descend below the surface at a constant rate. The table shows the depth of the diver over $4$4 minutes.
In a study, scientists found that the more someone sleeps, the quicker their reaction time. The attached table shows the findings. Use a positive number to express increase, and a negative number to express decrease.
Caitlin's phone plan allows her to send $300$300 text messages for free.
But if she sends over $300$300 messages the cost, $C$C, in dollars of sending $x$x text messages is modelled by $C=0.1\left(x-300\right)+8$C=0.1(x−300)+8.
Solve for the number of text messages $x$x that have been sent when the total cost is $\$30.10$$30.10.