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?

we are given [tex]p=900-4t^2[/tex]where price p( in dollars) of a new smartphone t is the number of months since Januarynow, we can solve for tstep-1:Add both sides by 4t^2[tex]p+4t^2=900-4t^2+4t^2[/tex][tex]p+4t^2=900[/tex]step-2:Subtract both sides by p[tex]p+4t^2-p=900-p[/tex][tex]4t^2=900-p[/tex]step-3:divide both sides by 4[tex]\frac{4t^2}{4} =\frac{900-p}{4}[/tex][tex]t^2=\frac{900-p}{4}[/tex][tex]t^2=225-0.25p[/tex]step-4:Take sqrt both sides [tex]\sqrt{t^2} =\sqrt{225-0.25p}[/tex][tex]t=\sqrt{225-0.25p}[/tex]so, we get [tex]t=\sqrt{225-0.25p}[/tex]..............Answer