Assume that r varies directly as p. what is the constant of proportionality if r = 3 when p = 15. k = 5 k = 1/5 k = 3 k = 45

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.

10.416 meters per second

step-by-step explanation:

distance=1 00 meters

time= 9.6 seconds in decimal form or 9 3/5 as a mixed number

average speed= 100/9.6

=10.416 meters per second or 10 52/125 as a mixed number.

answer. d.289 hope that