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It has been observed that a certain plant's growth is directly proportional to time. It measured 10 cm when it arrived at the nursery and 12.5 cm exactly one week later. If the plant continues to grow at this rate, determine the function that represents the plant's growth and graph it. (10 POINTS)




P.S may solution dapat​

Sagot :

From the given, we can say that this is arithmetic sequence

n = 2

a₁ = 10

a₂ = 12.5

d = a₁ - a₂ = 12.5 - 10 = 2.5

Get the function of, we have

g(n) = 10 + 2.5n

where n = number of weeks

We use g(n) for growth in terms of week.

Answer: g(n) = 10 + 2.5n

10 + 2.5(-2)

= 10 - 2.5 · 2

= 10 - 5

= 5

10 + 2.5(-1)

= 10 - 2.5 · 1

= 10 - 2.5

= 7.5

10 + 2.5(0)

= 10 + 2.5 · 0

= 10 + 0

= 10

10 + 2.5(1)

= 10 + 2.5 · 1

= 10 + 2.5

= 12.5

10 + 2.5(2)

= 10 + 2.5 · 2

= 10 + 5

= 15

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