The table shows the outputs, y, for different inputs, x: Input (x) 6 12 15 25 Output (y) 14 15 15 16 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) = 7x − 15. Which relation has a greater value when x = 6? (2 points) Part C: Using the relation in Part B, what is the value of x if f(x) = 6? (5 points) (10 points
Accepted Solution
A:
Answer:Part A: No it is not a functionPart B: The equationPart C: x = 3Step-by-step explanation:Part A - The table: Input (x) Output (y)6 1412 1515 1525 16This is a function because it has no repeating inputs values which have alternate outputs. Each input is assigned exactly one output.Part B - The relation y = 7x - 15 has the value y = 27 when x = 6. You can find it by substituting into the equation.y = 7(6) -15y = 42 - 15y = 27The value of the relation in the table when x = 6 is y = 14. The equation has the greater value.Part C: To find when y = 6, set it equal to 6 and solve for x.6 = 7x - 1521 = 7x 3 = x