you research the average cost of a movie ticket over several years to look for trends. the table shows your data. what is the equation of a line of best fit? approximately how much would you expect to pay for a movie ticket in 2021

year price
1980, $4.00
1984 $ 4.50
1988 $5.25
1992 $5.50
1996 $7.00
2000 $7.75
2004 $8.25
2008 $8.75
2012 $9.00
possible answers
A. y=0.17x+4;$11
B. 4x;$164
C. 5.7x+4;$238
D. y=0.67x-4;$23

Question

you research the average cost of a movie ticket over several years to look for trends. the table shows your data. what is the equation of a line of best fit? approximately how much would you expect to pay for a movie ticket in 2021

year      price 
1980,    $4.00
1984     $ 4.50
1988     $5.25
1992      $5.50    
1996     $7.00
2000      $7.75
2004      $8.25
2008      $8.75
2012      $9.00
possible answers 
A. y=0.17x+4;$11
B. 4x;$164
C. 5.7x+4;$238
D. y=0.67x-4;$23

anonymous · Answer

I think the best way to answer this question is to just think about it logically. The biggest giveaway is the initial starting price (1980). Only the equations that have a Y-intercept of 4 would be accurate. If you consider that in 32 years the growth has been 5 dollars, you can average the growth per year as 5/32. Since there are 9 more years til 2021 from 2012 you can estimate the growth of those 9 years. Add it to your 2012 cost of $9.00. And you're close to 11. For multiple choice questions in math, always use the given answers to guide your reasoning and approach to the problem.