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A sunflower grows at a rate of 4 cm each day - OCR - GCSE Maths - Question 16 - 2019 - Paper 2
Question 16
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 16 - 2019 - Paper 2
Step 1
How many days does it take to grow from a height of 80 cm to more than 1.06 m?
Answer
To calculate the number of days it takes for the sunflower to grow from a height of 80 cm to more than 1.06 m, we first need to convert 1.06 m to centimeters:
1.06 m = 106 cm.
The initial height of the sunflower is 80 cm. We now find the height that needs to be achieved:
Height to achieve = 106 cm - 80 cm = 26 cm.
Next, since the sunflower grows at a rate of 4 cm per day, we can determine the number of days required for this growth:
Number of days = ( \frac{\text{Height to achieve}}{\text{Growth per day}} = \frac{26 \text{ cm}}{4 \text{ cm/day}} = 6.5 , \text{days} ).
Since we are looking for the number of full days, we round this up to the next whole number. Thus, it would take 7 days for the sunflower to grow from 80 cm to more than 1.06 m.
Step 2
If the sunflower grows at a faster rate, how would this affect your answer to part (a)?
Answer
If the sunflower grows at a faster rate, the number of days required to reach the height of more than 1.06 m would decrease. A higher growth rate means that the sunflower would reach the target height in fewer days than the 7 days calculated previously, depending on how much faster the growth rate is. For example, if the sunflower grew at 6 cm per day instead of 4 cm, the calculation would be:
Number of days = ( \frac{26 \text{ cm}}{6 \text{ cm/day}} \approx 4.33 , \text{days} ),
which rounds up to 5 days.