The average price (in dollars) to rent a studio in a certain city can be approximated by the equation p - 24.1t+575 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 $1081.10.

69 years after 2005 which is in 2074 year the average price of a studio in this city will reach $1081.10.

Step-by-step explanation:

Given:

Average Price to rent a studio is denoted by 'p'.

It is been approximated by equation:

where t ⇒ number of years since 2005

Now given:

Average Price to rent a studio p = $1081.10

Substituting the value of p in above equation we get;

Solving the new equation to find the value of t we get;

Dividing both side by 24.1 we get;

Hence 69 years after 2005 which is in 2074 year the average price of a studio in this city will reach $1081.10.

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