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Answered

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if x varies jointly as a and b, what is the constant of variation if x = 50, a =2 and b=5?
A. 5
B. 10
C. 20
D. 50
​

Sagot :

Quinzenidn

JOINT VARIATION

Given: If x varies jointly as a and b, what is the constant of variation if x = 50, a =2 and b=5? (Choices: A. 5, B. 10, C. 20, D. 50)

Answer:

[tex]\Large \blue{\bold{A. 5}}[/tex]

Step-by-step explanation:

Step 1: Write the correct equation. Joint variation problems are solved using the equation x=kzy if x varies jointly as z and y.

[tex]\large \bold{x=kab}[/tex]

Step 2: Use the information given in the problem to find the value of k. In this case, you need to find k if x=50, a=2 and b=5.

[tex]x=kab \\ 50 = k(2)(5) \\ 50=10k \\ \frac{50}{10} = \frac{ \cancel{10}k}{ \cancel{10}} \\ \bold{5 = k}[/tex]

Therefore, the constant of variation k is 5.

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