Question

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)

Answer 1

D 17 2/9

Explanation:

Answer 2

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

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