Eliana takes photos and videos on her phone. let p represent the number of photos and v represent the number of videos that eliana can take using her storage space. 15p + 70v < 400 eliana wants to take 12 photos. how many videos at most can she take with the remaining storage space?

P = 12.

So,

15(12) + 70V < 400

V < (400 - 180)/17

V <3.14

So the max number of video can fit is 3.

check the picture below.

well, the angle at the vertex d is clearly not a right-angle, let's check for the one at the vertex f which does look like,   however if it's indeed, that means ef is perpendicular to df, in which case their slopes will be negative reciprocal of each other.

so the negative reciprocal of the slope of ef is 1, however the slope of df is not 1, is 1/2, so nope, they're not perpendicular lines.

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below: