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
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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(39618) (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
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
In 1990, this was 30 years past 1960.
Predicted price would have been according to the model,
cents
A few cents high versus the actual statistic.
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