Justin and desiree each wrote a ratio comparing the numbers of students and tables in their classroom. there are 6 tables in the room with 4 students at each table.

justin states that the ratio is 4: 1.
desiree insists the ratio is 24: 6.

they both ask luke to tell them which ratio is correct. which statement below would be the best answer for luke?

Desiree and Justin have the same ratio, Justin's is just simplified.

Step-by-step explanation:

Take Desiree's ratio and divide both sides by 5

24:6

24/6 : 6/6

4:1

This is the same ratio as Justin

Both ratio's are the same

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:

we'll this would mean that the dunk tank and the bounce house are the same for 20 hours because the 2 represents that the two activities, and the 20 represents the amount of hours they both are. so with this said, it means that the answer is c. the costs for a dunk tank and bounce house are the same for 20 hours.

c.the costs for a dunk tank and bounce house are the same for 20 hours.

hope this .