An empty dump truck weighs about 2.8×105 pounds. How much does it weigh if 15,300 pounds of trash is added? The answer should be in scientific notation.(1 point)

Question

Responses

15,302.8 pounds
15,302.8 pounds

2.953×105 pounds
2.953 times 10 superscript 5 baseline pounds

29,530 pounds
29,530 pounds

4.33×105 pounds

Answer 1

To find the total weight of the dump truck after adding the trash, we need to add the weight of the empty dump truck to the weight of the trash.

The empty dump truck weighs \( 2.8 \times 10^5 \) pounds, and the trash weighs 15,300 pounds.

First, we convert 15,300 into scientific notation:

\[ 15,300 = 1.53 \times 10^4 \]

Now we add the two weights together. Since \( 2.8 \times 10^5 \) is in a higher exponent than \( 1.53 \times 10^4 \), we can convert \( 1.53 \times 10^4 \) to the same exponent:

\[ 1.53 \times 10^4 = 0.153 \times 10^5 \]

Now, we can add:

\[ 2.8 \times 10^5 + 0.153 \times 10^5 = (2.8 + 0.153) \times 10^5 = 2.953 \times 10^5 \]

Thus, the total weight of the dump truck after adding the trash is:

\[ 2.953 \times 10^5 \text{ pounds} \]

The correct response is:

2.953×10^5 pounds.