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Plotting a Straight Line

Question 78iv...

Question

Question 78(iv)
Observe the toothpick pattern given below

Would it make sense to join the points on this graph? Explain.

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Solution

Yes, it shows the relation between x and y follows the given pattern y=3x+1.

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Q. Question 78(ii)
Observe the toothpick pattern given below

Make a graph by taking the pattern numbers on the horizontal axis and the number of toothpicks on the vertical axis.Make the horizontal axis from 0 to 10 and the vertical axis from 0 to 30.

Q. Question 78(i)

Observe the toothpick pattern given below

Imagine that this pattern continues. Complete the table to show the number of toothpicks in the first six terms.

\begin{matrix} P a t t e r n & 1 & 2 & 3 & 4 & 5 & 6 T o o t h p i c k s & 4 & 13 \end{matrix}

Q. Question 78(iii)

Observe the toothpick pattern given below.

Use your graph to predict the number of toothpicks in pattern 7 and 8. Check your answers by actually drawing them.

Q. Question 78(iii)

Observe the toothpick pattern given below.

Use your graph to predict the number of toothpicks in pattern 7 and 8. Check your answers by actually drawing them.

Observe the pattern given below.

What is the general expression for this pattern?

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Plotting a Straight Line

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