Answer :
To solve the problem of finding how many inches are in [tex]\( x \)[/tex] meters, given that there are 39.4 inches in 1 meter, we need to use multiplication.
Here's a step-by-step explanation:
1. Understand the conversion rate: We know that 1 meter equals 39.4 inches.
2. Calculate for [tex]\( x \)[/tex] meters: If there are 39.4 inches in 1 meter, then for [tex]\( x \)[/tex] meters, we need to multiply the number of meters ([tex]\( x \)[/tex]) by the number of inches per meter (39.4).
This gives us:
[tex]\[
\text{Number of inches in } x \text{ meters} = 39.4 \times x
\][/tex]
3. Choose the correct option: Looking at the options provided:
- A: [tex]\(\frac{x}{39.4}\)[/tex] - This implies division, not appropriate here.
- B: [tex]\(\frac{39.4}{x}\)[/tex] - This also implies division, not the correct operation.
- C: [tex]\(39.4 + x\)[/tex] - This implies addition, which is incorrect.
- D: [tex]\(39.4 \times x\)[/tex] - This is the correct multiplication.
Based on the calculation above, option D ([tex]\(39.4 \times x\)[/tex]) is the right choice. This represents multiplying the number of meters ([tex]\(x\)[/tex]) by the number of inches per meter (39.4) to get the total number of inches.
Here's a step-by-step explanation:
1. Understand the conversion rate: We know that 1 meter equals 39.4 inches.
2. Calculate for [tex]\( x \)[/tex] meters: If there are 39.4 inches in 1 meter, then for [tex]\( x \)[/tex] meters, we need to multiply the number of meters ([tex]\( x \)[/tex]) by the number of inches per meter (39.4).
This gives us:
[tex]\[
\text{Number of inches in } x \text{ meters} = 39.4 \times x
\][/tex]
3. Choose the correct option: Looking at the options provided:
- A: [tex]\(\frac{x}{39.4}\)[/tex] - This implies division, not appropriate here.
- B: [tex]\(\frac{39.4}{x}\)[/tex] - This also implies division, not the correct operation.
- C: [tex]\(39.4 + x\)[/tex] - This implies addition, which is incorrect.
- D: [tex]\(39.4 \times x\)[/tex] - This is the correct multiplication.
Based on the calculation above, option D ([tex]\(39.4 \times x\)[/tex]) is the right choice. This represents multiplying the number of meters ([tex]\(x\)[/tex]) by the number of inches per meter (39.4) to get the total number of inches.