The required equation that can be solved to find the number of days, d, it will take for the plant to be 65 cm tall is d= [tex]\frac{5.5\times 65}{11}\\[/tex]
From the question given, we are told that when testing fertilizers on a plant that is 11 cm tall, it is growing at a rate of 2 cm/day. This can be expressed as:
We can get the number of days it will take the 11cm plant to grow:
11cm = x
2cm = 1 day
[tex]2x = 11 * 1\\2x = 11\\x = 11/2\\x = 5.5 days\\[/tex]
Since it will take 5.5days for 11 cm plant tall to grow, to calculate the number of days 'd' it will take a 65cm plant tall to grow, we can say:
11cm = 5.5days
65cm = "d"
Cross multiply
[tex]11d = 5.5 \times 65\\d = \frac{5.5\times 65}{11}\\[/tex]
Hence the required equation that can be solved to find the number of days, d, it will take for the plant to be 65 cm tall is d= [tex]\frac{5.5\times 65}{11}\\[/tex]
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