Final Answer:
The value of k that will make the equation 2k = 16 true is d) 8.
Step-by-step explanation:
To find the value of k that makes the equation 2k = 16 true, let's solve the equation step by step:
1. Start with the original equation:
2k = 16
2. The equation states that 2 times k is equal to 16. To find the value of k, you need to isolate k on one side of the equation. To do this, you should divide both sides of the equation by the coefficient of k, which in this case is 2.
3. Divide each side of the equation by 2:
(2k) / 2 = 16 / 2
4. Simplifying the left side, we cancel out the 2s (because 2/2 is 1), which leaves us with k on the left side. On the right side, 16 divided by 2 equals 8.
5. Thus, the equation simplifies to:
k = 8
6. Now, looking at your answer choices, the correct answer is:
d. 8
Therefore, the value of k which makes the equation 2k = 16 true is 8. Hence, the correct answer is Option D.