The table below shows the number of grams of carbohydrates, x, and
the number of calories, y, of six different foods.
carbohydrates (x) calories (y)
8 120
9.5 138
10 147
6 88
7 108
4 62
which equation best represents the line of best fit for this set of data?
(1) y = 15x (3) y = 0.1x - 0.4
(2) y = 0.07x (4) y = 14.1x + 5.8

equation that best represents the line of the best fit for this set of data is:
1) y = 15x

x               y       : I divided y by x
8             120    :  120/8 = 15
9.5          138    :   138/9.5 = 14.53 can be rounded up to 15
10           147    :  147/10 = 14.70 can be rounded up to 15
6              88      :  88/6 = 14.67 can be rounded up to 15
7            108    : 108/7 = 15.42 can be rounded down to 15
4              62    : 62/4 = 15.50 can be rounded down to 15

y = 15x

120.00  =          15.00           8.00                    
142.50  =          15.00           9.50                    
150.00  =          15.00         10.00                      
  90.00  =          15.00           6.00                    
105.00  =          15.00           7.00                      
  60.00  =          15.00           4.00

Answer: the correct answer is 10step-by-step explanation: let the number be n, then the expression becomes,then“twelve more than the quotient of a number and two, decreased by four” iswhen n=4,we substitute 4 whetever we see n to get,we simplify to obtain,we further simplify to get,therefore the correct answer is c.