Bamboo plants have been recorded to have grown by as much as fifty (50) centimeters a day. A new variety of bamboo plant is being monitored. One day after being planted the plant had a height of 6.3 centimeters. Three days later the plant had a height of 170.1 centimeters. Assuming that the growth of the plant follows an exponential model of the form = A(b¹) where (y) is the height of the plant in centimeters and (t) the time in days. (a) Determine the exponential model that describes the growth of this species of bamboo. y = (b) Using your model from part (a), what would be the height of the bamboo plant after five days of growth to the nearest centimeter? (c) Using your model from part (a), determine the amount of time (to the nearest whole number) it would take the bamboo plant to grow to two hundred (200) centimeters?

Bamboo plants have been recorded to have grown by as much as fifty (50) centimeters a day. A new variety of bamboo plant is being monitored. One day after being planted the plant had a height of 6.3 centimeters. Three days later the plant had a height of 170.1 centimeters. Assuming that the growth of the plant follows an exponential model of the form = A(b¹) where (y) is the height of the plant in centimeters and (t) the time in days. (a) Determine the exponential model that describes the growth of this species of bamboo. y = (b) Using your model from part (a), what would be the height of the bamboo plant after five days of growth to the nearest centimeter? (c) Using your model from part (a), determine the amount of time (to the nearest whole number) it would take the bamboo plant to grow to two hundred (200) centimeters?

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter6: Exponential And Logarithmic Functions

Section6.8: Fitting Exponential Models To Data

Problem 3TI: Table 6 shows the population, in thousands, of harbor seals in the Wadden Sea over the years 1997 to...

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Question

Bamboo plants have been recorded to have grown by as much as fifty (50)
centimeters a day.
A new variety of bamboo plant is being monitored. One day after being
planted the plant had a height of 6.3 centimeters. Three days later the plant
had a height of 170.1 centimeters.
Assuming that the growth of the plant follows an exponential model of the
form
A (b')
where (y) is the height of the plant in centimeters and (t) the time in days.
(a) Determine the exponential model that describes the growth of this
species of bamboo.
(b)
(c)
y = A ( bt
Using your model from part (a), what would be the height of the
bamboo plant after five days of growth to the nearest centimeter?
Using your model from part (a), determine the amount of time (to the
nearest whole number) it would take the bamboo plant to grow to two
hundred (200) centimeters?

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