To add the weights correctly in scientific notation, we first need to convert 15,300 pounds into scientific notation.
15,300 can be written as: \[ 1.53 \times 10^4 \]
Now we can add this to the weight of the empty dump truck, which is: \[ 2.8 \times 10^5 \]
Before we can add these two values, we need them to have the same exponent. The term \( 1.53 \times 10^4 \) can be converted to have the same exponent as \( 2.8 \times 10^5 \):
\[ 1.53 \times 10^4 = 0.153 \times 10^5 \]
Now we can add:
\[ 2.8 \times 10^5 + 0.153 \times 10^5 = (2.8 + 0.153) \times 10^5 = 2.953 \times 10^5 \]
So, the weight of the dump truck after adding the trash is \( 2.953 \times 10^5 \) pounds.
Correct Response: 2.953×10^5 pounds