To find the total weight of the dump truck after adding 15,300 pounds of trash, we first need to determine the weight of the empty dump truck. Unfortunately, you've missed providing the empty weight of the dump truck.
However, let's assume the weight of the empty truck is represented by the variable \( x \). The total weight after adding the trash would then be:
\[ x + 15,300 \] pounds.
If \( x \) were to be stated in scientific notation, let's say \( 2.8 \times 10^5 \) pounds (for example). This gives us:
\[ 2.8 \times 10^5 + 15,300 \].
Now, converting 15,300 to scientific notation:
15,300 = \( 1.53 \times 10^4 \).
Now adding the two together:
- Convert \( 2.8 \times 10^5 \) to the same power of 10 as \( 1.53 \times 10^4 \):
\[ 2.8 \times 10^5 = 280,000 \text{ pounds} \] \[ 15,300 = 15,300 \text{ pounds} \]
So:
\[ 280,000 + 15,300 = 295,300 \text{ pounds} \].
Now, converting \( 295,300 \) to scientific notation:
\[ 295,300 = 2.953 \times 10^5 \text{ pounds} \].
Thus, if the weight of the empty dump truck is \( 2.8 \times 10^5 \) pounds, the total weight after adding trash would be \( 2.953 \times 10^5 \) pounds.
Based on your options and assuming the right answer must be from your choices, the correct answer is:
\( 2.953 \times 10^5 \) pounds.