Given that y = 6 − 5x, which ordered pairs would graph the function that has the domain values shown on the table?
Responses
A (−3, 21), (2, 16), (0, 6), (1, 1), (2, 4)
B (−3, 21), (−2, 16), (1, 6), (1, 1), (2, 4)
C (3, −9), (−2, 16), (0, 6), (1, 1), (2, −4)
D (−3, 21), (−2, 16), (0, 6), (1, 1), (2, −4)
To find which ordered pairs would graph the function with the domain values shown in the table, we would substitute the x-values from the domain into the function y = 6 - 5x to calculate the corresponding y-values.
For the domain values:
-3:
y = 6 - 5(-3) = 6 + 15 = 21
2:
y = 6 - 5(2) = 6 - 10 = -4
0:
y = 6 - 5(0) = 6 - 0 = 6
1:
y = 6 - 5(1) = 6 - 5 = 1
Based on the calculations, the ordered pairs (−3, 21), (0, 6), (1, 1), and (2, -4) are the correct ones.
Therefore, the answer is D: (−3, 21), (−2, 16), (0, 6), (1, 1), (2, −4).