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 took of an hour for each cake.
B.
Stella baked 2 cakes in each hour.
C.
Stella baked 3 cakes in each hour.
D.
Stella took hours for each cake.
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 took of an hour for each cake.
B.
Stella baked 2 cakes in each hour.
C.
Stella baked 3 cakes in each hour.
D.
Stella took hours for each cake.
Answers
GPT-4o mini
To find the unit rate, we need to determine how many cakes are baked per hour.
From the table, we can calculate the rate of cakes baked per hour based on the data provided. The total number of cakes baked and the corresponding time can be summarized as follows:
- 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
To find the unit rate (cakes per hour), we can take any pair from the table. For example, if we consider the first data point (3 cakes in 2 hours), we can calculate:
\[
\text{Rate} = \frac{\text{Number of Cakes}}{\text{Time}} = \frac{3 \text{ cakes}}{2 \text{ hours}} = 1.5 \text{ cakes/hour}
\]
Calculating the rate for all entries, we observe:
- For 3 cakes in 2 hours: \(1.5 \text{ cakes/hour}\)
- For 6 cakes in 4 hours: \(1.5 \text{ cakes/hour}\)
- For 9 cakes in 6 hours: \(1.5 \text{ cakes/hour}\)
- For 12 cakes in 8 hours: \(1.5 \text{ cakes/hour}\)
- For 15 cakes in 10 hours: \(1.5 \text{ cakes/hour}\)
From this, we see that in each case, Stella baked 1.5 cakes per hour.
Now, let's analyze the options given:
A. Stella took an hour for each cake. (Incorrect)
B. Stella baked 2 cakes in each hour. (Incorrect)
C. Stella baked 3 cakes in each hour. (Incorrect)
D. Stella took hours for each cake. (Not stated)
None of the options appear to accurately represent the unit rate we calculated (1.5 cakes/hour).
However, if we were to choose the closest answer that reflects a unit rate (considering the earlier calculation), we can recognize there is an inconsistency among the options. Hence, the best option should specify cakes per hour clearly.
Since the options do not reflect the correct computed unit rate (1.5 cakes/hour), please verify the statements or present a new set of choices that may correctly reflect the calculated rate.
From the table, we can calculate the rate of cakes baked per hour based on the data provided. The total number of cakes baked and the corresponding time can be summarized as follows:
- 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
To find the unit rate (cakes per hour), we can take any pair from the table. For example, if we consider the first data point (3 cakes in 2 hours), we can calculate:
\[
\text{Rate} = \frac{\text{Number of Cakes}}{\text{Time}} = \frac{3 \text{ cakes}}{2 \text{ hours}} = 1.5 \text{ cakes/hour}
\]
Calculating the rate for all entries, we observe:
- For 3 cakes in 2 hours: \(1.5 \text{ cakes/hour}\)
- For 6 cakes in 4 hours: \(1.5 \text{ cakes/hour}\)
- For 9 cakes in 6 hours: \(1.5 \text{ cakes/hour}\)
- For 12 cakes in 8 hours: \(1.5 \text{ cakes/hour}\)
- For 15 cakes in 10 hours: \(1.5 \text{ cakes/hour}\)
From this, we see that in each case, Stella baked 1.5 cakes per hour.
Now, let's analyze the options given:
A. Stella took an hour for each cake. (Incorrect)
B. Stella baked 2 cakes in each hour. (Incorrect)
C. Stella baked 3 cakes in each hour. (Incorrect)
D. Stella took hours for each cake. (Not stated)
None of the options appear to accurately represent the unit rate we calculated (1.5 cakes/hour).
However, if we were to choose the closest answer that reflects a unit rate (considering the earlier calculation), we can recognize there is an inconsistency among the options. Hence, the best option should specify cakes per hour clearly.
Since the options do not reflect the correct computed unit rate (1.5 cakes/hour), please verify the statements or present a new set of choices that may correctly reflect the calculated rate.