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 number of units. In this case, the total cost is $1.35 and the number of units is a dozen, which is equal to 12 pencils.
Therefore, the unit cost is $1.35/12 = $0.11.
So the correct answer is $0.11.
Find the Equation of the Line:
y=mx+b
by solving for y using the Point Slope Equation.
y−y1=m(x−x1)
y−1=3(x−0)
y−1=3x−(3×0)
y−1=3x−0
y=3x−0+1
y=3x+1
m=3
The equation of the line is y = 3x + 1.
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
24 mpg
To find the constant of variation or miles per gallon (mpg), divide the distance traveled by the amount of gasoline used. In this case, the distance traveled is 640 miles and the amount of gasoline used is 32 gallons.
Therefore, the mpg is 640 miles / 32 gallons = 20 mpg.
So 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.
6
9
12
15
Length (x) Weight (y)
15
22.5
30
37.5
(1 point)
k = 2.0
k= 2.5
k= 1.5
k= 3.0
To find the constant of proportionality, we can choose any pair of length and weight from the table and divide the weight by the length.
Let's take the first pair, (6, 15).
k = weight / length = 15 / 6 = 2.5.
So the constant of proportionality is k = 2.5.
Therefore, the correct answer is k = 2.5.
The table shows the grade, g, on a test when the number of problems, n, are correct. Write an equation to model the
situation.
Problems on a Test
n
g
40
72
84
10
18
21
(1 point)
n= 4g
g = 4n
g =n + 30
n=g - 30
To model the situation, we need to find a relationship between the number of problems, n, and the grade, g. From the given table, it appears that the grade is directly related to the number of problems.
Let's look at the first pair, (40, 72). We can write the equation as:
g = k * n
Substituting the values from the first pair:
72 = k * 40
To solve for k, divide both sides by 40:
k = 72 / 40
Simplifying:
k = 1.8
Therefore, the equation to model the situation is:
g = 1.8 * n
So the correct answer is g = 1.8n.
n / g
10/40
18/72
21/84