To determine how many pieces of candy the company makes per year, let's follow these steps:
1. Understand the problem:
- Each 5-pound bag contains 2500 pieces of candy.
- The company produces 4.7 million bags of candy per year.
2. Convert 4.7 million into numerical form:
- 4.7 million bags can be written as [tex]\( 4.7 \times 10^6 \)[/tex] bags.
3. Calculate the total number of pieces of candy produced per year:
- Multiply the number of pieces per bag by the number of bags produced per year:
[tex]\[
\text{Total pieces of candy per year} = \text{pieces per bag} \times \text{number of bags per year}
\][/tex]
- Substitute the known values:
[tex]\[
\text{Total pieces of candy per year} = 2500 \times 4.7 \times 10^6
\][/tex]
4. Perform the multiplication:
- First, multiply 2500 by 4.7:
[tex]\[
2500 \times 4.7 = 11750
\][/tex]
- Now include the [tex]\( \times 10^6 \)[/tex]:
[tex]\[
11750 \times 10^6 = 1.175 \times 10^{10}
\][/tex]
Hence, the company makes [tex]\( 1.175 \times 10^{10} \)[/tex] pieces of candy per year. From the choices given, the correct option is:
- The company makes about [tex]\( 1.175 \times 10^{10} \)[/tex] pieces of candy per year.
