Question

the table compares x, the number of minutes of television sam watched each day, to y, the number of minutes she spent exercising. the function y = -0.78x + 95 models the data in the table. which is the best prediction for the number of minutes of exercising sam will do if she spends 30 minutes watching television that day? 45 minutes 72 minutes 83 minutes 118 minutes

Explanation:

Step1: Identify the given function and x-value

We are given the function \( y = -0.78x + 95 \) and we need to find \( y \) when \( x = 30 \).

Step2: Substitute x = 30 into the function

Substitute \( x = 30 \) into \( y = -0.78x + 95 \):
\( y = -0.78(30) + 95 \)

Step3: Calculate the value of -0.78(30)

First, calculate \( -0.78\times30 \). \( -0.78\times30=-23.4 \)

Step4: Add 95 to the result

Now, add 95 to -23.4: \( y=-23.4 + 95 \)
\( y = 71.6 \approx 72 \) (rounded to the nearest whole number)

Answer:

72 minutes