2. A memory card manufacturing facility estimates that four out of 500 cards are faulty. About how many faulty memory cards can be expected for every 1,200 that are manufactured? \ \ \ \  a) set up a proportion, defining a variable for the unknown quantity, \ \ \ \ b) solve the proportion, showing all work leading to your answer \ \ \ \ c) write a sentence to explain the meaning of the answer for the situation.

Step 1:

Four out of 500 memory cards are faulty.

Set up a proportion.

Let represent the faulty memory cards among 1200 memory cards.

The proportions is .

Step 2:

Find the number of faulty memory cards among 1200 memory cards.

Use proportions to find .

(c)

Therefore, there are approximately 10 faulty memory cards among 1200 memory cards.

Solution:

(a) The proportions is .

(b) .

(c) There are approximately 10 faulty memory cards among 1200 memory cards.