A researcher develops a model to predict the number of hours someone will sleep based on the number of cups of coffee they drink during the day. The model is given by the equation y=8−0.5x, where y represents the number of hours of sleep, and x represents the number of cups of coffee consumed. How many hours of sleep should someone expect if they drink 4 cups of coffee during the day?(2 points) Responses 6.5 hours 6.5 hours 7 hours 7 hours 6 hours 6 hours 7.5 hours

Answer 1

To predict the number of hours of sleep based on the number of cups of coffee consumed, you can substitute the value of \( x \) into the equation \( y = 8 - 0.5x \).

Given that \( x = 4 \) (the number of cups of coffee consumed):

\[ y = 8 - 0.5(4) \]

Calculating this step-by-step:

1. \( 0.5 \times 4 = 2 \)
2. \( y = 8 - 2 \)
3. \( y = 6 \)

Therefore, if someone drinks 4 cups of coffee during the day, they should expect to sleep 6 hours.