SOLUTION: In 1960, the average price per gallon of gasoline was 31 cents per gallon. From 1960 to 2000, prices increased, on average, by 2.5 cents per gallon per year.† (a) Using G for the

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: In 1960, the average price per gallon of gasoline was 31 cents per gallon. From 1960 to 2000, prices increased, on average, by 2.5 cents per gallon per year.† (a) Using G for the      Log On


   



Question 1125196: In 1960, the average price per gallon of gasoline was 31 cents per gallon. From 1960 to 2000, prices increased, on average, by 2.5 cents per gallon per year.†
(a)
Using G for the price, in cents per gallon, and t for the time, in years, since 1960, use a formula to express G as a linear function of t.
G =

(b)
What price per gallon does the model yield for 1990? (Note: The actual price was $1.00 per gallon.)
$
per gallon
(c)
Use the Internet to find the average price of gasoline for the current year. Does the model from part a give a price near the current price?


Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
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In 1960, the average price per gallon of gasoline was 31 cents per gallon. From 1960 to 2000, prices increased, on average, by 2.5 cents per gallon per year.†
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x, number of years; x at 0 is for the year 1960.
y, price in CENTS depending on x
y=2.5x%2B31


With that, you should be able to do parts (a) and (b) yourself.

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(a)
Using G for the price, in cents per gallon, and t for the time, in years, since 1960, use a formula to express G as a linear function of t.
G =
(b)
What price per gallon does the model yield for 1990? (Note: The actual price was $1.00 per gallon.)
$
per gallon
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You can simply change to the specified variables of the description and say highlight%28G%28t%29=2.5t%2B31%29

In 1990, this was 30 years past 1960.
Predicted price would have been according to the model,
G%2830%29=2.5%2A30%2B31
G%2830%29=highlight_green%28106%29 cents
A few cents high versus the actual statistic.