Assume that r varies directly as p. What is the constant of proportionality if r = 3 when p = 15.

Mathematics

2 answers:

nataly862011 [7]3 years ago

6 0

The answer for this question would be K= 1/5

krok68 [10]3 years ago

4 0

Answer:

The correct answer is k=1/5

Step-by-step explanation:

Given the expression " r varies directly as p", we need to find an equation that describes the relationship between both variables. First, we have that r varies as p varies, so r is the dependent variable and p is the independent variable. So

r = k x p ⇒ replacing with the given values (r =3 when p =15)

3 = k x 15 ⇒ 3/15 = k ⇒ 1/5 = k.

Then the constant of proportionality is k = 1/5.

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