The table shows the outputs, y, for different inputs, x: input (x) 2 5 9 12 output (y) 20 15 12 8 part a: do the data in this table represent a function? justify your answer. (3 points) part b: compare the data in the table with the relation f(x) = 5x + 14. which relation has a greater value when x = 9? (2 points) part c: using the relation in part b, what is the value of x if f(x) = 64? (5 points)

Yes, this data represents a function. A function will not have any repeating x values. It can have repeating y values, just not the x ones.

data in the table : when x = 9this is already a point on the table (9,12)...so the value on the table, when x = 9, is 12

f(x) = 5x + 14when x = 9
f(9) = 5(9) + 14
f(9) = 45 + 14
f(9) = 59

the relation with the greater value would be : f(x) = 5x + 14

f(x) = 5x + 14when f(x) = 64
64 = 5x + 14
64 - 14 = 5x
50 = 5x
50/5 = x
10 = x <==

Distance=slopeslope is -2/4which equals-1/2the distance between these two points is -1/2