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GenaCL600 [577]
3 years ago
11

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?

Mathematics
1 answer:
Gre4nikov [31]3 years ago
7 0

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

\frac{4t^2}{4} =\frac{900-p}{4}

t^2=\frac{900-p}{4}

t^2=225-0.25p

step-4:

Take sqrt both sides

\sqrt{t^2} =\sqrt{225-0.25p}

t=\sqrt{225-0.25p}

so, we get

t=\sqrt{225-0.25p}..............Answer

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