The ratio of boys to girls in Ella's grade is 3 to 4. The ratio of boys to girls in Jayla's grade is 4 to 10. Each grade has 40 girls. How many boys are in each grade

Step-by-step explanation:

(ella)boys to girls-3:4

to make 4, 40 , times by 10. 30:40

this means there are 30 boys and 40 girls

(jayla)boys to girl-4:10

to make 40, times 10 by 4.

this would turn to 16:40

there are 16 boys and 40 girls

ur welcome<3!

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:

g

step-by-step explanation: