The table below shows the number of cakes Stella baked with respect to time.
Which of the following statements gives the unit rate?
A.
Stella baked 2 cakes in each hour.
B.
Stella took 2/3 of an hour for each cake.
C.
Stella baked 3 cakes in each hour.
D.
Stella took 3/2 hours for each cake.
The unit rate refers to the number of cakes baked per hour.
Therefore, the statement that gives the unit rate is:
A. Stella baked 2 cakes in each hour.
The unit rate represents the rate of change per unit of time. To find the unit rate from the given options, we need to determine the number of cakes baked in one hour.
A. Stella baked 2 cakes in each hour. This means that in one hour, Stella baked 2 cakes.
B. Stella took 2/3 of an hour for each cake. This statement does not give the unit rate as it provides information about how long it took to bake each cake, not the number of cakes baked in one hour.
C. Stella baked 3 cakes in each hour. This means that in one hour, Stella baked 3 cakes.
D. Stella took 3/2 hours for each cake. This statement does not give the unit rate as it provides information about how long it took to bake each cake, not the number of cakes baked in one hour.
Therefore, the statement that gives the unit rate is option A: Stella baked 2 cakes in each hour.
To find the unit rate, we need to determine the rate at which Stella bakes cakes per unit of time. Let's examine each statement and their time intervals.
A. Stella baked 2 cakes in each hour.
This means that for every hour, Stella bakes 2 cakes. The unit rate is 2 cakes per hour.
B. Stella took 2/3 of an hour for each cake.
Here, we have the time it takes to bake a single cake. In this case, it takes Stella 2/3 of an hour to bake one cake. However, to find the unit rate, we need to determine how many cakes she bakes in one hour. To do this, we divide the reciprocal of the time it takes for one cake, which is 1/(2/3). This simplifies to 1 * (3/2) = 3/2. Therefore, Stella bakes 3/2 cakes per hour.
C. Stella baked 3 cakes in each hour.
This means that for every hour, Stella bakes 3 cakes. The unit rate is 3 cakes per hour.
D. Stella took 3/2 hours for each cake.
Similar to statement B, we have the time it takes to bake a single cake. In this case, it takes Stella 3/2 hours to bake one cake. To find the unit rate, we divide the reciprocal of the time it takes for one cake, which is 1/(3/2). This simplifies to 1 * (2/3) = 2/3. Therefore, Stella bakes 2/3 cakes per hour.
Compared to the other options, the statement that gives the unit rate is A. Stella baked 2 cakes in each hour.
A car dealership sold 265 cars in 5 months. At what rate did the dealership sell cars in cars per month?
A.
52 cars per month
B.
54 cars per month
C.
55 cars per month
D.
53 cars per month
To find the rate at which the dealership sold cars in cars per month, we need to divide the total number of cars sold by the number of months.
The number of cars sold: 265 cars
The number of months: 5 months
To calculate the rate, we divide the total number of cars sold (265) by the number of months (5):
265 cars / 5 months = 53 cars per month
Therefore, the rate at which the dealership sold cars is 53 cars per month. The correct answer is option D.
Paula walked on the treadmill for 14 minutes. The machine told her she had a total of 910 strides. What was her rate in strides per minute?
A.
63 strides per minute
B.
65 strides per minute
C.
64 strides per minute
D.
66 strides per minute
To find Paula's rate in strides per minute, we need to divide the total number of strides by the number of minutes she walked.
The total number of strides: 910 strides
The number of minutes: 14 minutes
To calculate the rate, we divide the total number of strides (910) by the number of minutes (14):
910 strides / 14 minutes = 65 strides per minute
Therefore, Paula's rate in strides per minute is 65 strides per minute. The correct answer is option B.
A video game displays 140 frames in 5 seconds on Penelope's computer. What is the rate in frames per second?
A.
26 frames per second
B.
29 frames per second
C.
27 frames per second
D.
28 frames per second
To find the rate in frames per second, we need to divide the total number of frames by the number of seconds.
The total number of frames: 140 frames
The number of seconds: 5 seconds
To calculate the rate, we divide the total number of frames (140) by the number of seconds (5):
140 frames / 5 seconds = 28 frames per second
Therefore, the rate in frames per second is 28 frames per second. The correct answer is option D.