Rob is investigating the effects of font size on the number of words that fit on a page. He changes the font size on an
and records the number of words on one page of the essay. The table shows his data.
Words per Page
14
12
16
10
12
12
14
16
18
24
22
Font
Size
Word
Count
352
461 340
407
435
381280
201
138
114
Which equation represents the approximate line of best fit for data, where x represents font size and y represents the
number of words on one page?
Oy=-55x + 407
y=-41x + 814
O y=-38x + 922
o y=-26x + 723

Asystem of linear equations with more equations than unknowns is sometimes called an overdetermined system. can such a system be consistent? illustrate your answer with a specific system of three equations in two unknowns. choose the correct answer below. a. yes, overdetermined systems can be consistent. for example, the system of equations below is consistent because it has the solution nothing. (type an ordered pair.) x 1 equals 2 comma x 2 equals 4 comma x 1 plus x 2 equals 6 b. no, overdetermined systems cannot be consistent because there are fewer free variables than equations. for example, the system of equations below has no solution. x 1 equals 2 comma x 2 equals 4 comma x 1 plus x 2 equals 12 c. yes, overdetermined systems can be consistent. for example, the system of equations below is consistent because it has the solution nothing. (type an ordered pair.) x 1 equals 2 comma x 2 equals 4 comma x 1 plus x 2 equals 8 d. no, overdetermined systems cannot be consistent because there are no free variables. for example, the system of equations below has no solution. x 1 equals 2 comma x 2 equals 4 comma x 1 plus x 2 equals 24