Question

The table below shows the number of cakes Stella baked with respect to time.

Number of Cakes Time
(hours)
3 2
6 4
9 6
12 8
15 10

Which of the following statements gives the unit rate?
A.
Stella baked 3 cakes in each hour.
B.
Stella took of an hour for each cake.
C.
Stella baked 2 cakes in each hour.
D.
Stella took hours for each cake.
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Answer 1

To find the unit rate, we need to determine how many cakes Stella bakes in one hour.

From the table, we see the number of cakes and the corresponding time:

- 3 cakes in 2 hours
- 6 cakes in 4 hours
- 9 cakes in 6 hours
- 12 cakes in 8 hours
- 15 cakes in 10 hours

Calculating the unit rate (cakes per hour):

To find out the rate for all:

1. For 3 cakes in 2 hours:
\( \frac{3 \text{ cakes}}{2 \text{ hours}} = 1.5 \text{ cakes/hour} \)

2. For 6 cakes in 4 hours:
\( \frac{6 \text{ cakes}}{4 \text{ hours}} = 1.5 \text{ cakes/hour} \)

3. For 9 cakes in 6 hours:
\( \frac{9 \text{ cakes}}{6 \text{ hours}} = 1.5 \text{ cakes/hour} \)

4. For 12 cakes in 8 hours:
\( \frac{12 \text{ cakes}}{8 \text{ hours}} = 1.5 \text{ cakes/hour} \)

5. For 15 cakes in 10 hours:
\( \frac{15 \text{ cakes}}{10 \text{ hours}} = 1.5 \text{ cakes/hour} \)

So, Stella bakes 1.5 cakes per hour.

Next, we evaluate the answer options:

A. Stella baked 3 cakes in each hour. **(No, that's incorrect.)**
B. Stella took of an hour for each cake. **(This does not convey the proper unit rate.)**
C. Stella baked 2 cakes in each hour. **(No, this is incorrect.)**
D. Stella took hours for each cake. **(This does not convey the proper unit rate.)**

None of the statements are correct. The correct answer based on our calculation should be:

"Stella baked 1.5 cakes in each hour."

Since that option is not provided, we conclude that the answer choices are flawed.