Question

The average price in dollars) to rent a studio in a certain city can be approximated by the equation

p=282t+644 where t is the number of years 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

Answer 1

2008

Explanation:

p=282t+644 (subtract 644 from both sides)

p - 644 = 282t (rearrange)

282t = p - 644 (divide both sides by 282)

t = (p - 644) / 282

find t when p = $1320.80

t = (p - 644) / 282

t = (1320.80 - 644) / 282

t = (676.8) / 282

= 2.4 years

since t is measured in years since 2005,

2.4 years after 2005 will put us in 2005 + 2.4 = 2007.4 ( or inside of 2008)