Question

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

Answer 1

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.**