The variable r is directly proportional to the square of t, and r = 144 when t = 72.
Write the equation that expresses the relationship between the variables. (Let k represent the variation constant.)

Using the given data, solve for the variation constant k.

Question

byronreynolds2017 byronreynolds2017

06-11-2021
Mathematics

Answered

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The variable r is directly proportional to the square of t, and r = 144 when t = 72.
Write the equation that expresses the relationship between the variables. (Let k represent the variation constant.)

Using the given data, solve for the variation constant k.

Sagot :

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fatimaazare fatimaazare · Answer 1 · 2021-11-06T17:35:44-04:00

fatimaazare fatimaazare

06-11-2021

Answer:

k=0.023

Step-by-step explanation:

[tex]r \alpha {t }^{2} \\ r = k {t}^{2} \\ 144 = k \times {72 }^{2} \\ k = \frac{144}{ {72 }^{2} } \\ k = 0.023 \\ the \: eqn \: is \: therefore \\ r = 0.023 \times {t}^{2} [/tex]

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The variable r is directly proportional to the square of t, and r = 144 when t = 72. Write the equation that expresses the relationship between the variables. (Let k represent the variation constant.) Using the given data, solve for the variation constant k.

Sagot :

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The variable r is directly proportional to the square of t, and r = 144 when t = 72.
Write the equation that expresses the relationship between the variables. (Let k represent the variation constant.)

Using the given data, solve for the variation constant k.