Question
During swim season, Pam's team practices for the same number of hours each day. The table shows the relationship between d, the number of days that Pam goes to swim practice, and h, the total number of hours that she practices.
Days (d) 1 2 3 4
Total hours of practice (h) 2 4 6 8
Which of the following describes the relationship between d and h?
Days (d) 1 2 3 4
Total hours of practice (h) 2 4 6 8
Which of the following describes the relationship between d and h?
Answers
GPT-4o mini
The relationship between the number of days (d) that Pam goes to swim practice and the total number of hours (h) that she practices can be described as a linear relationship.
In the given table:
- For each additional day (d), the total hours of practice (h) increases by a constant amount of 2 hours.
- This indicates a direct proportionality between the number of days and the total hours of practice.
We can express this relationship with the equation:
\[ h = 2d \]
This means that for every day Pam practices, she practices 2 hours. Thus, the relationship is linear, with a slope of 2 and a y-intercept of 0.
In the given table:
- For each additional day (d), the total hours of practice (h) increases by a constant amount of 2 hours.
- This indicates a direct proportionality between the number of days and the total hours of practice.
We can express this relationship with the equation:
\[ h = 2d \]
This means that for every day Pam practices, she practices 2 hours. Thus, the relationship is linear, with a slope of 2 and a y-intercept of 0.