Each marble bag sold by Mary's Marble Company contains 5 blue marbles for every 4 purple marbles. If a bag has 35 blue marbles, how many purple marbles does it contain?

The total no. of purple marbles will be:

Step-by-step explanation:

It is given that for every 5 blue marbles, we have 4 purple marbles. And similarly we have to find for the no. of purple marbles for 35 blue marbles.

First, Let's divide these 35 blue marbles in groups of 5. We will get:

➝ 35 ÷ 5 = 7 groups

For each group of 5 marbles, there are 4 purple marbles. So for 7 groups, No. of purple marbles will be:

➝ 4 × 7 = 28 purple marbles.

And we are done! :D

11 feet 6 inches and 8 feet 6 inches

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: