Answer :
To determine how many inches are in [tex]\( x \)[/tex] meters, you can use the conversion factor given in the problem. We know that there are 39.4 inches in 1 meter.
Here's the step-by-step process:
1. Understand the conversion factor: There are 39.4 inches in 1 meter. This means for every meter, you have 39.4 inches.
2. Calculate for [tex]\( x \)[/tex] meters: If you have [tex]\( x \)[/tex] meters, you want to find out how many inches that would be. Since there are 39.4 inches in each meter, you can multiply the number of meters [tex]\( x \)[/tex] by 39.4 to get the number of inches.
3. Set up the equation: The expression for the number of inches in [tex]\( x \)[/tex] meters is:
[tex]\[
\text{Number of inches} = 39.4 \times x
\][/tex]
4. Identify the correct answer: Looking at the options, the option that matches the equation [tex]\( 39.4 \times x \)[/tex] is option:
D. [tex]\( 39.4x \)[/tex]
Thus, the answer is option D. [tex]\( 39.4 x \)[/tex]. This means that for every [tex]\( x \)[/tex] meters, you multiply by 39.4 to convert the measurement to inches.
Here's the step-by-step process:
1. Understand the conversion factor: There are 39.4 inches in 1 meter. This means for every meter, you have 39.4 inches.
2. Calculate for [tex]\( x \)[/tex] meters: If you have [tex]\( x \)[/tex] meters, you want to find out how many inches that would be. Since there are 39.4 inches in each meter, you can multiply the number of meters [tex]\( x \)[/tex] by 39.4 to get the number of inches.
3. Set up the equation: The expression for the number of inches in [tex]\( x \)[/tex] meters is:
[tex]\[
\text{Number of inches} = 39.4 \times x
\][/tex]
4. Identify the correct answer: Looking at the options, the option that matches the equation [tex]\( 39.4 \times x \)[/tex] is option:
D. [tex]\( 39.4x \)[/tex]
Thus, the answer is option D. [tex]\( 39.4 x \)[/tex]. This means that for every [tex]\( x \)[/tex] meters, you multiply by 39.4 to convert the measurement to inches.
