if a dozen pencils cost $1.35, what is the unit cost?(1 point) responses $0.11 $0.11 $1.23 $1.23 $0.13 $0.13 $4.29
To find the unit cost, divide the total cost by the quantity.
In this case, a dozen pencils is equal to 12 pencils.
So, the unit cost would be $1.35 divided by 12, which is $0.11.
Therefore, the correct answer is $0.11.
The distance traveled in a car varies directly as the amount of gasoline used. If a car travels 640 miles and uses 32 gallons of gas, find the constant of variation or miles per gallon (mpg).(1 point) Responses 18 mpg 18 mpg 22 mpg 22 mpg 20 mpg 20 mpg 24 mpg
To find the miles per gallon (mpg), divide the distance traveled by the amount of gasoline used.
In this case, the car traveled 640 miles and used 32 gallons of gas.
Therefore, the miles per gallon would be 640 miles divided by 32 gallons, which equals 20 mpg.
Therefore, the correct answer is 20 mpg.
In her science classroom, Mrs. Hall noticed that the lengths (in inches) and weights (in ounces) of the class's pet ferret were directly related by the equation y = kx, where x is the length and y is the weight. Use the information in the table to find k, the constant of proportionality. (1 point) Responses k = 2.0 k = 2.0 k = 2.5 k = 2.5 k = 1.5 k = 1.5 k = 3.0
To find the constant of proportionality (k), we need to use the given data in the table.
Let's consider two sets of data points from the table: (6, 12) and (10, 20).
Using the equation y = kx, we can set up two equations:
12 = 6k (from the first data point)
20 = 10k (from the second data point)
Solving these equations, we find k = 2.
Therefore, the correct answer is k = 2.
Identify the unit rate on the graph. (1 point) Responses 180 180 120 120 60 60 240
To identify the unit rate on the graph, we need to look for the slope of the graph. The slope represents the rate of change or the ratio between the two variables.
Without seeing the actual graph or any further information, it is not possible to determine the unit rate or the correct answer. Please provide more details or a description of the graph for further analysis.