asked 202k views
4 votes
statistical models predict that price p( in dollars) of a new smartphone will change according to the function p=900-4t^2. where t is the number of months since january. which expression gives the.month t in terms of the price?

statistical models predict that price p( in dollars) of a new smartphone will change-example-1

2 Answers

4 votes

Answer:

E

Explanation:

PLATO

answered
User Niraj Nawanit
by
7.6k points
4 votes

we are given


p=900-4t^2

where

price p( in dollars) of a new smartphone

t is the number of months since January

now, we can solve for t

step-1:

Add both sides by 4t^2


p+4t^2=900-4t^2+4t^2


p+4t^2=900

step-2:

Subtract both sides by p


p+4t^2-p=900-p


4t^2=900-p

step-3:

divide both sides by 4


(4t^2)/(4) =(900-p)/(4)


t^2=(900-p)/(4)


t^2=225-0.25p

step-4:

Take sqrt both sides


√(t^2) =√(225-0.25p)


t=√(225-0.25p)

so, we get


t=√(225-0.25p)..............Answer

answered
User Sakhri Houssem
by
8.5k points
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