Question

If s=4⋅64t−16²where t=32, what is the value of s?
a) 0
b) 256
c) 512
d) 1024

Answer 1

To solve for s, we plug t=32 into the equation s=4· 64t - 16², giving us s = 8192 - 256 which equals 7936. However, this result is not among the provided options, indicating a potential issue with the equation or the answer choices. The correct answer is not mentioned in the options.

Step-by-step explanation:

The student is asked to find the value of s given the equation s = 4 · 64t - 16² and the value of t = 32. First, we plug in the value of t into the equation:

s = 4 · 64(32) - 16²

Then we calculate the two terms separately:

s = (4 · 64 · 32) - (16 · 16)

s = 8192 - 256

Finally, we subtract the second term from the first term to get the value of s:

s = 8192 - 256 = 7936

However, this value does not appear in the list of options provided by the student, which suggests there may have been a typo or misunderstanding either in the given equation or the options. Therefore, I cannot confidently choose an answer from the provided options.