for the function 2y = 7x + 2, what numbers are needed to complete the table. x -4, -2, +2 +4. y -6, +8. a. -8 and +6, b. -8 and +15, c. -13 and +8, d. -13 and +15.
To complete the table for the given function, you need to substitute the given values of x, -4, -2, 2, and 4, into the equation and solve for y.
Let's substitute x = -4:
2y = 7(-4) + 2
2y = -28 + 2
2y = -26
y = -13
Now, let's substitute x = -2:
2y = 7(-2) + 2
2y = -14 + 2
2y = -12
y = -6
Next, substitute x = 2:
2y = 7(2) + 2
2y = 14 + 2
2y = 16
y = 8
Lastly, substitute x = 4:
2y = 7(4) + 2
2y = 28 + 2
2y = 30
y = 15
So, completing the table based on the given function, we have:
x | y
-4 | -13
-2 | -6
2 | 8
4 | 15
From the table, we can see that the values for y corresponding to the given values of x are -13, -6, 8, and 15.
Therefore, the correct answer is (d) -13 and +15.