A plant grows at a rate of 4.5 centimeters per week. it is now 12 centimeters tall. suppose that the plant continues to grow at the same rate. In how many weeks will it reach a height of 48 centimeters?

Question

Kaydence Combs

Mathematics

31 May, 23:46

A plant grows at a rate of 4.5 centimeters per week. it is now 12 centimeters tall. suppose that the plant continues to grow at the same rate. In how many weeks will it reach a height of 48 centimeters?

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Raymond Fuller · Answer 1

It will take an additional 8 weeks to reach a height of 48 centimeters.

y = 4.5x

Since, the maximum height is 48 cm and the plant has already grown 12 cm, we deduct the 12 from 48 to get the additional weeks it needs to grow.

48 - 12 = 4.5x

36 = 4.5x

36/4.5 = 4.5x / 4.5

x = 8 weeks.