Question

Research has shown that the amount of sleep and grades have a direct correlation. This relationship is represented by the equation G=0.04s+3.24, where

G is the GPA and S is the amount of hours of sleep. Determine which statements about the relationship are true. Choose two options.

Answer 1

The equation G=0.04s+3.24 represents the relationship between GPA and the amount of sleep. Two true statements about the relationship are: an increase in sleep is associated with a higher GPA, and a GPA of 3.24 is expected when the student doesn't get any sleep.

Step-by-step explanation:

The equation G=0.04s+3.24 represents the relationship between the GPA (G) and the amount of hours of sleep (S). To determine which statements about the relationship are true, we can analyze the equation:

1. The coefficient of s (0.04) indicates that for every additional hour of sleep, the GPA increases by 0.04 units.
2. The constant term (3.24) represents the GPA when the amount of sleep is 0 hours.

Based on this information, we can conclude that two true statements about the relationship are:

1. An increase in the amount of sleep is associated with a higher GPA.
2. A GPA of 3.24 is expected when the student doesn't get any sleep.