Question

Lulu the Lucky puts chests of gems into her treasure vault. Each chest holds the same number of gems. The table below shows the number of gems Lulu received from three different adventures and the number of chests she needed to hold the gems.

Adventure A: Number of Gems = 600, Number of Chests = 2

Adventure B: Number of Gems = 1500, Number of Chests = 5

Adventure C: Number of Gems = 4800, Number of Chests = 16

Write an equation to describe the relationship between g, the number of gems, and c, the number of chests.

Answer 1

Your answer will be g = 300c.

Explanation:

I did this on Khan! :)

Answer 2

• c = 1/300 g or g = 300c

Explanation:

Lets assume the number of germs as input and the number of chests as output value. We can see the relation is linear, so it would be:

• c = mg + b

Using (600, 2) and (1500, 5) points, we find the value of m and b:

• m = (5 - 2)/(1500 - 600) = 3/900 = 1/300

• 2 = 1/300*600 + b ⇒ 2 = 2 + b ⇒ b = 0

So the equation is

• c = 1/300g

or

• g = 300c