Question

The value of y varies directly with x . If x=15 , then y=9 . Find the value of y if x=9

Answer 1

The value of y for x=9, using the direct variation equation y = 9 + 3x, is calculated to be 36.

Step-by-step explanation:

The statement indicates that the value of y varies directly with x. This means that when x increases, y also increases at a constant rate, and vice versa. Given the direct variation equation y = 9 + 3x, we can find the value of y for x=9. We substitute 9 for x into the equation, yielding y = 9 + 3(9), which simplifies to y = 9 + 27 and finally y = 36. Thus, the value of y when x=9 is 36.

Answer 2

In this direct variation problem, y = 9 + 3x represents a linear relationship. The value of y when x = 9 is 36.

Step-by-step explanation:

In this direct variation problem, we have the equation y = 9 + 3x.

The equation represents a linear relationship between y and x, where the value of y is changing as a function of x.

The slope of the line is 3, which means that for every unit increase in x, y increases by 3 units.

When x = 15, y = 9.

To find the value of y when x = 9, we can substitute x = 9 into the equation:

y = 9 + 3(9)

= 9 + 27

= 36.