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Cartesian Plane and Coordinate Axes

Question 78ii...

Question

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.

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Solution

On the basis of given condition, we can draw the following graph

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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.

Q. Question 79(i)

Consider this input/output table.

\begin{matrix} I n p u t & 1 & 2 & 4 & 5 & 7 O u t p u t & 2 & 5 & 11 & 14 & 20 \end{matrix}

Graph the values from the table by taking input along horizontal axis from 0 to 8 and output along vertical axis from 0 to 24.

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

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

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}

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