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Question 1:Devonte currently has 10 tulips in his yard. Each year he plants 10 more.(a) Find a linear model of the form Pt=P0+dt to describe the number of tulips that Devonte has at a given point in time.Pt =(b) How many tulips will Devonte have in 6 years?tulips(c) When will Devonte have 15 tulips? Round your answer to the nearest tenth of a year.After years

Answer :

Devonte currently has 10 tulips in his yard. Each year he plants 10 more.



(a) Find a linear model of the form Pt=P0+dt to describe the number of tulips that Devonte has at a given point in time.



Pt =





(b) How many tulips will Devonte have in 6 years?



tulips



(c) When will Devonte have 15 tulips? Round your answer to the nearest tenth of a year.



After years

Part a

Pt=P0+dt -----> linear equation in slope-intercept form

we have

P0=10 tulips

d=10 tulips per year

substitute

Pt=10+10t

Part b

For t=6 years

substitute

Pt=10+10(6)

Pt=70 tulips

Part c

For Pt=15 tulips

substitute

15=10+10t

solve for t

10t=15-10

10t=5

t=0.5 years

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