Answer: The correct option is (d) \(8t+16=200.\)
Step-by-step explanation: Given that Benito is selling T-shirts for $8 each for his school fund-raiser and he has sold 16 T-shirts till now.
We are to find the number of T-shirts that he still need to sell to reach his goal of $200 in sales.
The number of T-shirts still he needs to sell is represented by t.
The, according to the given information, we have
\(8(t+16)=200\\\\\Rightarrow 8t+128=200\\\\\Rightarrow 8t=200-128\\\\\Rightarrow 8t=72\\\\\Rightarrow t=\dfrac{72}{8}\\\\\Rightarrow t=9.\)
So, the number of T-shirts that he still needs to sell is 9.
Now, we can see from the above steps of solution for t that options (a), (b) and (c) gives the correct value of t, but from option (d), we get
\(8t+16=200\\\\\Rightarrow 8t=200-16\\\\\Rightarrow 8t=184\\\\\Rightarrow t=23
eq 9\)
So, option (d) does NOT solve for the correct value of t.
Thus, (d) is the correct option.
