Diana and some friends want to go to the movies, if they have to pay $15 to get in the movie theater and then $2 for each bag of popcorn that they buy(p), then how many bags of popcorn did they buy if they spent $45 all together?

15

Step-by-step explanation:

If they started of paying 15 then that's your constant. So what you do is subtract 15 from 45 and see what's left which will be 30. Since each bag of popcorn is $2 you divide the $30 dollars you have left over by 2 and you'll get 15 for the amount of popcorn bags they'll have to buy.

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:

you can not drow on this

step-by-step explanation: