SOLUTION: The cost of a magazine subscription increases each year by the same amount. In the first year, the cost of the subscription is 22 dollars. In the fourth year, the cost of the subsc

Question 957569: The cost of a magazine subscription increases each year by the same amount. In the first year, the cost of the subscription is 22 dollars. In the fourth year, the cost of the subscription is 26,50 dollars. In how many years will the subscription cost 34 dollars?
Answer by macston(5194) (Show Source): You can put this solution on YOUR website!
n=number of year; =subscription cost for year n
fourth year-first year/years=$26.50-$22.00/3yrs=$4.50/3yrs=$1.50/yr
$22.00-$1.50=Subscription in year zero=$20.50
S=$20.50+$1.50n/yr Subtract $20.50 from each side.
S-$20.50=$1.50n/yr Divide each side by $1.50/yr
(S-$20.50)/$1.50/yr=n Plug in value:S=$34
($34-$20.50)/$1.50/yr=n
$13.50/$1.50/yr=n
9yr=n ANSWER: In the ninth year a subscription will cost $34.00.

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