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: Substitute \(x = 30\) into the function

Given the function \(y=-0.78x + 95\), when \(x = 30\), we have \(y=-0.78\times30+95\).

Step2: Calculate \(-0.78\times30\)

\(-0.78\times30=-23.4\).

Step3: Calculate \(y\)

\(y=-23.4 + 95\). Using the rule of addition of real numbers \(a+(-b)=a - b\) (here \(a = 95\), \(b=23.4\)), we get \(y=95-23.4=71.6\approx72\).

Answer:

72 minutes