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A sunflower grows at a rate of 4 cm each day - OCR - GCSE Maths - Question 4 - 2019 - Paper 5

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A sunflower grows at a rate of 4 cm each day. How many days does it take to grow from a height of 80 cm to more than 1.06 m? (b) If the sunflower grows at a faster... show full transcript

Worked Solution & Example Answer:A sunflower grows at a rate of 4 cm each day - OCR - GCSE Maths - Question 4 - 2019 - Paper 5

Step 1

How many days does it take to grow from a height of 80 cm to more than 1.06 m?

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Answer

To calculate the number of days taken for the sunflower to grow from 80 cm (0.8 m) to more than 1.06 m, we need to first determine the growth needed:

  1. Calculate the height difference:

    Height to reach: 1.06 m

    Current height: 0.8 m

    Height difference:

    1.06m0.8m=0.26m=26cm1.06 m - 0.8 m = 0.26 m = 26 cm
  2. Find the number of days: The sunflower grows at a rate of 4 cm per day. Thus:

    extNumberofdays=extHeightdifferenceextGrowthrate=26cm4cm/day=6.5days ext{Number of days} = \frac{ ext{Height difference}}{ ext{Growth rate}} = \frac{26 cm}{4 cm/day} = 6.5 days

Since we need more than 1.06 m, we round up to the next whole number: 7 days.

Step 2

If the sunflower grows at a faster rate, how would this affect your answer to part (a)?

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Answer

If the sunflower grows at a faster rate, the number of days required to reach more than 1.06 m would decrease. A higher growth rate means that the sunflower would cover the required height difference of 26 cm in fewer days. Thus, the answer to part (a) would be less than 7 days, depending on the new rate of growth.

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