Question

Express the statement as a formula. Use the given information to find the constant of proportionality, k.
M is jointly proportional to a, b, and c, and inversely proportional to d. If a and d have the same value and if b and c are both 2, then M = 124.

Answer 1

Alpha will be used as the proportionality symbol
\[M \alpha \frac{ abc }{ d }\] This means that
\[M = k \left( \frac{ abc }{ d } \right)\]You know the following as well
\[a=d, b=2, c=2.\rightarrow M=124\]with the arrow signifying if the previous are true, then the following is true.
Knowing this, solve for k.

Answer 2

Let me know if you got it. If this helped you, feel free to give me a medal, and a testimonial if you feel i was of great assistance.

Answer 3

solve for k please

Answer 4

\[M = k \left( \frac{ abc }{ d }\right)\]plug in what you know
\[124=k \left( \frac{ d ^{2} 2 }{ 2 } \right)\] the two's cancel out, leaving you with the following
\[124=kd^2\]since d and a are interchangeable, you get either of the following answers
\[k=\frac{ 124 }{ a^2 }\] or
\[k=\frac{ 124 }{ d^2 }\] or
\[k= \frac{ 124 }{ ad }\]

Answer 5

none of those answers work it says that the answer cannot be understood

Answer 6

it shouldnt be in a fraction form because it wont let me input fractions

Answer 7

Well depends. Is there further information about A or B?

Answer 8

A or D, i apologize.

Answer 9

NO

Answer 10

Oh wow I do so humbly apologize! I read the initial equation incorrectly! Since a and d equal each other, they should cancel, and you are left with the following!
\[M = k \left( bc \right)\] and since both b and c are equal to 2, you get the following
\[M = k \left( 4 \right)\] and since M = 124, you get the following
\[\frac{ 124 }{ 4 } =k\]
\[k=31\]