Question

Graham uses a 10 by 10 grid to model a decreasing pattern. He cuts off a section representing a percent of the current area so that the remaining area represents the next term in the pattern, rounded to nearest whole centimeter. The area after each cut is shown on the graph. A graph shows number of cuts labeled 1 to 10 on the horizontal axis and remaining area (square centimeters) on the vertical axis. A line decreases from 0 to 10. After each cut, what percentage of the previous area is the the remaining area? 10% 20% 80% 100%.

Answer 1

After each cut, by observing the graph, the remaining area is 80% of the previous area.

It is given that

Actual area = 100cm²

What is the percentage?

The percentage is the value per hundred.

According to the graph,

Area after the first cut =80cm² (80% of the previous are)

Area after the second cut = 64 cm²(80% of 80)

Area after third cut = 51.2 cm²(80% of 64)

So we can observe that area after each cut is 80% of the previous area.

Therefore, after each cut, the remaining area is 80% of the previous area.

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