Answer :
Kingsley wants to convert lengths from inches to centimeters. He knows that 1 inch is approximately equal to 2.54 centimeters. To find a formula for this conversion, let's break it down step by step:
1. Understanding the conversion factor:
- 1 inch = 2.54 centimeters.
2. Formulating the equation:
- To convert any length given in inches (let's call it [tex]\( i \)[/tex]) to centimeters (let's call it [tex]\( c \)[/tex]), you multiply the number of inches by the conversion factor, which is 2.54.
- Therefore, the equation to convert [tex]\( i \)[/tex] inches to centimeters is:
[tex]\[
c = 2.54 \times i
\][/tex]
3. Matching to the options:
- Option (A): [tex]\( i = \frac{c}{2.54} \)[/tex] — This equation is for converting centimeters to inches, not the other way around.
- Option (B): [tex]\( \frac{c}{i} = 2.54 \)[/tex] — This equation states the conversion factor itself, but not in the form useful for direct conversion from inches to centimeters.
- Option (C): [tex]\( c = 2.54 \times i \)[/tex] — This is the correct equation for converting inches to centimeters.
Therefore, the equation Kingsley should use is [tex]\( c = 2.54 \times i \)[/tex], and the correct choice is option (C).
1. Understanding the conversion factor:
- 1 inch = 2.54 centimeters.
2. Formulating the equation:
- To convert any length given in inches (let's call it [tex]\( i \)[/tex]) to centimeters (let's call it [tex]\( c \)[/tex]), you multiply the number of inches by the conversion factor, which is 2.54.
- Therefore, the equation to convert [tex]\( i \)[/tex] inches to centimeters is:
[tex]\[
c = 2.54 \times i
\][/tex]
3. Matching to the options:
- Option (A): [tex]\( i = \frac{c}{2.54} \)[/tex] — This equation is for converting centimeters to inches, not the other way around.
- Option (B): [tex]\( \frac{c}{i} = 2.54 \)[/tex] — This equation states the conversion factor itself, but not in the form useful for direct conversion from inches to centimeters.
- Option (C): [tex]\( c = 2.54 \times i \)[/tex] — This is the correct equation for converting inches to centimeters.
Therefore, the equation Kingsley should use is [tex]\( c = 2.54 \times i \)[/tex], and the correct choice is option (C).
