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4 Apr 2023

Question 2

y varies directly with x, and y = 21 when x = 24. What is the constant of variation for their relationship?

Hint: Because you know X and Y vary directly, their relationship is defined by the equation y=k x_{\text {or }} k=\frac{y}{x}

Use the equation and substitute 21 in place of y and 24 in place of x.

 

 

 

What is the equation that represents the direct variation between Y and X?

Plug in the value of k into the equation y = kx

 

 

 

 

Question 3

If x and y vary directly and y=12 when x=3, what is the constant of variation for their relationship?

 

Hint: Because you know x and y vary directly, their relationship is defined by the equation or  

Use the equation   and substitute 12 in place of y and 3 in place of x.  

 

 

A  

B  

C   

 

Question 4

In the previous practice problem, you found that if x and y vary directly and y=12 when x=3, the constant of variation for the relationship is 4 .

What is the value of y when x=6

The equation y=4 x models the relationship between x and y for this scenario. Substitute 6 in place of x.

 

A  

B  

C