If the statement “y varies jointly with respect to x and z” and the equation is in the form “y = kxz” (where k is the constant), translate each statement into a mathematical sentence using this pattern.
a. s varies jointly as r and t
b. V varies jointly as I, w, and h
c. N varies jointly as M₁ and M₂
d. A varies jointly as b and the square of c
e. The electrical voltage V varies jointly as the current I and the resistance R.
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JOINT VARIATION
If the statement “y varies jointly with respect to x and z” and the equation is in the form “y = kxz” (where k is the constant), translate each statement into a mathematical sentence using this pattern.
Answer:
s=krt – a. s varies jointly as r and t
V=klwh – b. V varies jointly as I, w, and h
N=kM₁M₂ – c. N varies jointly as M₁ and M₂
A=kbc² – d. A varies jointly as b and the square of c
V=kIR – e. The electrical voltage V varies jointly as the current I and the resistance R.
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