You and a friend go to see the most recent superhero movie. the length of the movie is 109 minutes, but of course, there will also be previews. in the equation below, p is the number of minutes taken up by the previews, and t is the number of minutes you spend watching previews and the movie. the relationship between these two variables can be expressed by the following equation: t=109+p identify the dependent and independent variables.

Independent Variable - p

Dependent Variable - t

Step-by-step explanation:

The length of the movie is 109 minutes

⇒ Length of the movie is fixed and cannot be varied.

Also, p is the number of minutes taken up by the previews

And t is the number of minutes you spend watching previews and the movie.

Now, The relationship between these two variables can be expressed by the following equation :

t = 109 + p

Here, p is the independent variable as it can take any value and is not fixed on any variable.

But, t is the dependent variable and its value is dependent on the p, the number of minutes taken up by the previews

Thus, Independent Variable - p

Dependent Variable - t

option 1 is correct.

step-by-step explanation:

y varies inversely with x and constant of variation is 4

the equation will be:

y = k/x

where k =4 so,

y = 4/x

if we put values of x of option 1 in the above equation and find values of y

y = 4/-2 => y =-2

y = 4/-1 => y = -4

y = 4/1 => y = 4

y = 4/2 => y =2

so, all the values of x and y are correct.

if we put values of x given in other options and find value of y we cannot find whole table satisfying the equation.

hence option 1 is correct.