Use the five-step strategy for solving word problems to find the number or numbers described in the following exercise: when four times the number is added to 7 times the number, the result is 44. what is the number?

Let the unknown number be 'x'.

Since, four times the number is added to 7 times the number, the result is 44.

Four times the number = 4x

Seven times the number = 7x

The sum of these numbers is 44.

So, 4x + 7x = 44

11x = 44

x = 4

Hence, the number is 4.

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:

70

step-by-step explanation:

2*5=10

4*15=60

60+10=

70