An empty dump truck weighs about 2.8×10 to the power of 5 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

29,530 pounds
29,530 pounds

15,302.8 pounds
15,302.8 pounds

2.953×10 to the power of 5 pounds
2.953 times 10 superscript 5 baseline pounds

4.33×10 to the power of 5 pounds

Answer 1

To find the total weight of the dump truck after adding 15,300 pounds of trash, we need to add the weight of the empty truck (2.8 × 10^5 pounds) to the weight of the trash.

1. Convert the empty truck's weight into standard form:

   • 2.8 × 10^5 pounds equals 280,000 pounds.

2. Add the weight of the trash: \[ 280,000 \text{ pounds} + 15,300 \text{ pounds} = 295,300 \text{ pounds} \]

3. Convert 295,300 pounds into scientific notation:

   • 295,300 can be expressed as 2.953 × 10^5 (since moving the decimal point 5 places to the left gives us 2.953).

So, the weight of the dump truck with the trash in scientific notation is: \[ \boxed{2.953 \times 10^5} \text{ pounds} \]