Question
A koala sleeps for 18 hours a day. What equation uses two variables to show the relationship between the number of days the koala sleeps, d, and the total amount of sleep time the koala sleeps, t, in days? *
d = 18t
t = 18 + d
d = 18 + t
t = 18d
d = 18t
t = 18 + d
d = 18 + t
t = 18d
Answers
GPT-4o mini
To express the relationship between the number of days the koala sleeps, \( d \), and the total amount of sleep time \( t \) in days, we can set up the equation based on the information that a koala sleeps for 18 hours each day.
Since there are 24 hours in a day, the koala sleeps for:
\[
\text{Total sleep time} = \text{hours per day} \times \text{number of days}
\]
In this case, the koala sleeps for 18 hours a day. Therefore, the total sleep time \( t \) in days can be expressed using the equation:
\[
t = 18d
\]
This equation states that the total sleep time \( t \) (in hours) is equal to 18 hours multiplied by the number of days \( d \).
None of the options you provided seem to include this exact equation. However, if referring to the number of hours in terms of days, the total sleep in days would need to be divided by the number of hours per day (24 hours) to convert, but as written in your question, and focusing on the options provided, the closest correct relationship is:
\[
t = 18d
\]
(This answer assumes that we are calculating total sleep time in hours, not days.)
If you consider the options provided, the correct option has to represent the relationship mentioned (although it seems like there's a discrepancy):
- The correct equation as discussed should be stated as \( t = 18d \) to indicate the total sleep time in hours relative to the number of days.
If \( t \) is expressed in days, you would also need to adjust for conversion to days from hours. If you're strictly looking for one of the answers you've listed, feel free to clarify that.
Since there are 24 hours in a day, the koala sleeps for:
\[
\text{Total sleep time} = \text{hours per day} \times \text{number of days}
\]
In this case, the koala sleeps for 18 hours a day. Therefore, the total sleep time \( t \) in days can be expressed using the equation:
\[
t = 18d
\]
This equation states that the total sleep time \( t \) (in hours) is equal to 18 hours multiplied by the number of days \( d \).
None of the options you provided seem to include this exact equation. However, if referring to the number of hours in terms of days, the total sleep in days would need to be divided by the number of hours per day (24 hours) to convert, but as written in your question, and focusing on the options provided, the closest correct relationship is:
\[
t = 18d
\]
(This answer assumes that we are calculating total sleep time in hours, not days.)
If you consider the options provided, the correct option has to represent the relationship mentioned (although it seems like there's a discrepancy):
- The correct equation as discussed should be stated as \( t = 18d \) to indicate the total sleep time in hours relative to the number of days.
If \( t \) is expressed in days, you would also need to adjust for conversion to days from hours. If you're strictly looking for one of the answers you've listed, feel free to clarify that.