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

Answer:

The expression $\sqrt{\frac{p-900}{4}}$ gives the number of month t in terms of the price.                  

Step-by-step explanation:

 Given : Statistical models predict that price p( in dollars) of a new smartphone will change according to the function $p=900-4t^2$

We have to find the expression which gives the number of month t in terms of the price.

Consider the given function $p=900-4t^2$

Since, we have to find the expression for t , we have,

$p=900-4t^2$

Subtract 900 both side, we have,

$p-900=-4t^2$            

Divide both side by 4, we have,

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

Taking square root both side, we have,

$\sqrt{\frac{p-900}{4}}=t$

Thus, The expression $\sqrt{\frac{p-900}{4}}$ gives the number of month t in terms of the price.

Answer 2

You are given the function $p=900-4t^2.$

Express t:

$4t^2=900-p,\\\\t^2=\dfrac{900-p}{4},\\\\t=\sqrt{\dfrac{900-p}{4}}.$

This expression gives the  month t in terms of the price p.