The ratio of cars to trucks is 9 to 4. If 4 there are 52 trucks, what is the number of cars? Explain how you got your answer

117 cars.

Step-by-step explanation:

Hi Yirod!

To begin, we need to find out what 52 ÷ 4 is. That's because there are 4 trucks in the ratio, but a total of 52 trucks.

52 ÷ 4 = 13

So we're multiplying everything by 13.

9 × 13 = 117

So there are cars.

Check:

Since we have 52:117, it should simplify to 9:4

52:117 (divide both by 13)

9 : 4. Thus, we are correct!

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: