Bouncing Baby Company sells their cribs for the following amounts to stores:

Number of CribsPrice10$1,32050$6,600

Which of the following statements about the price of the cribs is true if the price remains proportional to the number of cribs?

A. 

22 cribs cost $2,640

B. 

55 cribs cost $7,920

C. 

80 cribs cost $10,560

D. 

250 cribs cost $11,880

1 answer

To determine which statement about the price of the cribs is true, we first need to find the unit price per crib based on the given information.

  • From the data provided:
    • 10 cribs cost $1,320.
    • 50 cribs cost $6,600.

First, let's calculate the price per crib:

  1. For 10 cribs: \[ \text{Price per crib} = \frac{1,320}{10} = 132 \]

  2. For 50 cribs: \[ \text{Price per crib} = \frac{6,600}{50} = 132 \]

The price per crib is $132. Since the price is proportional to the number of cribs, we can calculate the total cost for any number of cribs by multiplying the number of cribs by $132.

Now, let's evaluate each statement:

A. 22 cribs cost: \[ 22 \times 132 = 2,904 \] (False)

B. 55 cribs cost: \[ 55 \times 132 = 7,260 \] (False)

C. 80 cribs cost: \[ 80 \times 132 = 10,560 \] (True)

D. 250 cribs cost: \[ 250 \times 132 = 33,000 \] (False)

Thus, the only true statement is:

C. 80 cribs cost $10,560.