Question

The weight of an object on earth is directly proportional to the weight of that same object on the moon. A 180-pound man would weigh 28.8 pounds on the moon.

How much would a 120-pound woman weigh on the moon?

20.8 pounds
17.6 pounds
16 pounds
19.2 pounds

Answer 1

@StudyGurl14

Answer 2

"The weight of an object on earth is directly proportional to the weight of that same object on the moon."
e = weight on earth
m = weight on moon
k = constant
\(\large e =km\)

Answer 3

First, find the value of k by substituting 180 for e, and 28.8 for m

Answer 4

ok so multiply?

Answer 5

no. divide, 'member from last time?

Answer 6

\(\large (180)=k(28.8)\)

Answer 7

oh ya right ^^ ok

Answer 8

:)

Answer 9

6.25

Answer 10

right.

Answer 11

now, what's the next step?

Answer 12

next multiply ?

Answer 13

almost...you substitute in the known value and solve for the unknown value. in the previous case, it called for multiplying. this time, it doesn't.
plug in 6.25 for k, and 120 for e. solve for m.
\(\large e=km\)

Answer 14

ok 750

Answer 15

nope. you multiplied. we need to divide here

Answer 16

19.2*

Answer 17

right. :)

Answer 18

ty !

Answer 19

:)