A function assigns the values. The height of the plant after 90 years will be 8100 inches.
A function assigns the value of each element of one set to the other specific element of another set.
Given that the height of a plant, in inches, p years after planting is given by the polynomial function R(p)= −2p²+270p.
Now, the height of the plant after 90 years can be written by substituting the value of p as 90. Therefore, the height of the plant after 90 years is,
R(p)= −2p²+270p
R(90)= −2(90)²+270(90)
= −2(8100) + 24,300
= −16,200 + 24,300
= 8100 inches
Hence, the height of the plant after 90 years will be 8100 inches.
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