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11111nata11111 [884]
3 years ago
7

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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<span>The speed is 57.5 m/s and the parachutist will fall 1150 m in 20 seconds.

Explanation<span>:
We start out with the ratio 207 km/1 hr.

We know that 1 km = 1000 m; this means 207 km = 207*1000 = 207000 m. This gives us 207000 m/1 hr.

We know that 1 hr = 60 minutes, so we have 207000 m/60 min.

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Dividing this, we get 57.5 m/s.

In 20 seconds, the parachutist will fall 57.5(20) = 1150 m.</span></span>
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