Does the type of program people watch influence how much they eat? A total of 94 college students were randomly assigned to one of three treatments: watching 20 minutes of a Hollywood action movie (The Island), watching the same 20-minute excerpt of the movie with no sound, and watching 20 minutes of an interview program. While watching, participants were given snacks (M&M’S®, cookies, carrots, and grapes) and allowed to eat as much as they wanted. Subjects who watched the highly stimulating excerpt from The Island ate 65% more calories than subjects who watched the interview show. Participants who watched the silent version of The Island ate 46% more calories than those who watched the interview show.36 Identify the explanatory and response variables in this study. Then determine if it is an experiment or an observational study. Explain your reasoning.

Television has been accused of helping people gain weight because it encourages a sedentary lifestyle. Television is like other entertaining activities that can get people to eat more, including reading, listening to the radio, and interacting with dinner mates.

c. y = 1/4 x + 5

step-by-step explanation:

first, put the equation of the line on the graph into slope-intercept form

(y = mx + b):   y = -4x + 8

second, a perpendicular line has to have "an opposite/reciprocal slope" to the original slope. so, find the "m" value in your original equation (it's -4, right? )

original slope: m = -4   perpendicular slope: change the sign to its opposite and find the reciprocal ("flip" the number)

new slope is now positive (b/c the original slope was negative 4), and it's 1/4 (not the original slope of 4 or 4/1)

answer: solve 5\cdot 2^x=2405⋅2  

x

=2405, dot, 2, start superscript, x, end superscript, equals, 240.

solution

to solve for xxx, we must first isolate the exponential part. to do this, divide both sides by 555 as shown below. we do not multiply the 555 and the 222 as this goes against the order of operations!

\begin{aligned} 5\cdot 2^x& =240 2^x& =48 \\ \end{aligned}  

5⋅2  

x

2  

x

​    

=240

=48

​

step-by-step explanation: