Question

The average price (in dollars) to rent a studio in a certain city can be approximated by the equation p=28.2t+644 where t is the number of Year’s since 2005. Solve this equation for t and use the new equation to determine approximately what year it will be when the average price of a studio in this city reaches $1320.80

Answer 1

$p = 28.2t + 644\\\\p-644 = 28.2t\\\\\frac{p-644}{28.2} = \frac{28.2t}{28.2}\\ \\t = \frac{p-644}{28.2}$

$t = \frac{1320.80-644}{28.2} \\\\t = 24$

It will take 24 years.