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Solve each of the following. Show your complete solution.

1. Find k if m varies directly as n and m=72 when n=3.

2. If p is directly proportional to d and p=65 when d=5,find the constant of variation.

3. If w varies directly as v and w=81 when v=9, find w when v=16.

4. A car travels a distance of d km in t hours. How far it does travel in 12 hours at rate of 58kph?

5. A mailman can sort out 726 letters in 6 hours. If the number of sorted letters varies directly as the number of working hours, how many letters can be sorted out in 11 hours?​


Sagot :

Answer:

1. m=kn (equation)

72=k3

k=72/3

k=24

2. p=kd (equation)

65=k5

k=65/5

k=13

3. w=kv (equation)

81=k9

k=81/9

k=9

w=9(16)

w=144

4. d=st (equation)

58=d/12

d=(58)(12)

d=696km

5. sorted letter (s)

working hours (w)

s=kw (equation)

726=k6

k=726/6

k=121

s=121(11)

s=1,331 sorted letters