You research the cost of a gallon of gasoline over several years to look for a trend. The table shows your data. The line of best fit uses years since 1980 as the input value. What is a line of best fit for the data? Based upon these prices, how much would you expect to pay in 2028? Year 1980 1984 1988 1992 1996 2000 2004 2008 2012 Price per Gallon $1.25 $1.27 $1.05 $1.28 $1.43 $1.68 $2.11 $3.72 $3.99 (1 point) Responses y=0.134x+1.25; $7.68 y=0.134x+1.25; $7.68 y=0.0347x+0.856; $2.52 y=0.0347x+0.856; $2.52 y=0.087x+0.587; $4.76 y=0.087x+0.587; $4.76 y=0.087x+2.26; $6.44
The line of best fit for the data is y = 0.087x + 0.587.
To find the expected price in 2028, we need to substitute x = 48 (2028 - 1980) into the equation:
y = 0.087(48) + 0.587
y = 4.176 + 0.587
y = 4.763
Therefore, based on these prices, you would expect to pay $4.76 per gallon in 2028.
The correct response is y=0.087x+0.587; $4.76.