Will mark brainliest 1)y varies inversely with x, and k (the constant of variation) = 2. what is the value of y when x = 5? round to the nearest tenth, if necessary.2)y varies inversely with x, and k (the constant of variation) = 23. what is the value of y when x = 7? round to the nearest tenth, if necessary.

Step-by-step explanation:

xy = k    

where k is the constant of variation.

We can also express the relationship between x and y as:

y =      

where k is the constant of variation.

Since k is constant, we can find k given any point by multiplying the x-coordinate by the y-coordinate. For example, if y varies inversely as x, and x = 5 when y = 2, then the constant of variation is k = xy = 5(2) = 10. Thus, the equation describing this inverse variation is xy = 10 or y = .

Example 1: If y varies inversely as x, and y = 6 when x = , write an equation describing this inverse variation.

k = (6) = 8  

xy = 8 or y =  

Example 2: If y varies inversely as x, and the constant of variation is k = , what is y when x = 10?

xy =  

10y =  

y = × = × =  

k is constant. Thus, given any two points (x1, y1) and (x2, y2) which satisfy the inverse variation, x1y1 = k and x2y2 = k. Consequently, x1y1 = x2y2 for any two points that satisfy the inverse variation.

Example 3: If y varies inversely as x, and y = 10 when x = 6, then what is y when x = 15?

x1y1 = x2y2  

6(10) = 15y  

60 = 15y  

y = 4  

Thus, when x = 6, y = 4.

2nd answer choice

constant of variation is xy. XY=23. If X=7 then Y=23/7.

the aswere is the one with all 8's and the second one is with the 10,8 and 6

step-by-step explanation:

table 3 represents a direct variation function. : )