Question

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?

Answer 1

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