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Answer :
Let's go step-by-step to find out which conversion ratio the student skipped when converting 15 hours to seconds.
When converting time from hours to seconds, we need to go through these steps:
1. Convert hours to minutes:
- There are 60 minutes in 1 hour. So, for 15 hours, the conversion is:
[tex]\[
15 \text{ hours} \times \frac{60 \text{ minutes}}{1 \text{ hour}}
\][/tex]
2. Convert minutes to seconds:
- There are 60 seconds in 1 minute. So, once you have the time in minutes, you convert it to seconds:
[tex]\[
(\text{Minutes obtained from the first step}) \times \frac{60 \text{ seconds}}{1 \text{ minute}}
\][/tex]
Now, let's see what the student did:
- The student incorrectly skipped the first step and converted directly from hours to seconds using the conversion factor from seconds to minutes only:
[tex]\[
15 \text{ hours} \times \frac{60 \text{ seconds}}{1 \text{ minute}} = 900 \text{ seconds}
\][/tex]
From this, we can see that the student did not convert hours to minutes first, which means the conversion factor for the step:
[tex]\[
\frac{60 \text{ minutes}}{1 \text{ hour}}
\][/tex]
was skipped.
So, the correct conversion ratio she skipped is:
B. [tex]\(\frac{60 \text{ minutes}}{1 \text{ hour}} \)[/tex].
When converting time from hours to seconds, we need to go through these steps:
1. Convert hours to minutes:
- There are 60 minutes in 1 hour. So, for 15 hours, the conversion is:
[tex]\[
15 \text{ hours} \times \frac{60 \text{ minutes}}{1 \text{ hour}}
\][/tex]
2. Convert minutes to seconds:
- There are 60 seconds in 1 minute. So, once you have the time in minutes, you convert it to seconds:
[tex]\[
(\text{Minutes obtained from the first step}) \times \frac{60 \text{ seconds}}{1 \text{ minute}}
\][/tex]
Now, let's see what the student did:
- The student incorrectly skipped the first step and converted directly from hours to seconds using the conversion factor from seconds to minutes only:
[tex]\[
15 \text{ hours} \times \frac{60 \text{ seconds}}{1 \text{ minute}} = 900 \text{ seconds}
\][/tex]
From this, we can see that the student did not convert hours to minutes first, which means the conversion factor for the step:
[tex]\[
\frac{60 \text{ minutes}}{1 \text{ hour}}
\][/tex]
was skipped.
So, the correct conversion ratio she skipped is:
B. [tex]\(\frac{60 \text{ minutes}}{1 \text{ hour}} \)[/tex].
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