Write the ratio 20 inches to 3 feet using fractional notation. Simplify the fraction to lowest terms. Use 1 foot = 12 inches to first write feet as inches.
A. 5/9
B. 20/3
C. 3/20
D. 9/5
How do you write 1 is to 2 as 5 is to x as a proportion in fractional notation?
A. 2/1 = 5/x
B. 1/2 = 5/x
C. 1 : 2 = 5 : x
D. 1 : 3 :: 5 : x
Determine if 2.25/10 ?= 9/40' 2.5/10 ?= 90/40' or 2.25/12 ?= 90/40 is a proportion.
A. None of these sets of ratios is a proportion.
B. 2.25/10 = 9/40
C. 2.25/12 = 90/40
D. 2.5/10 = 90/40
Meters Feet
7 23.03
6 19.74
5 16.45
4 13.16
Determine the number of feet in 1 meter.
A. 3.29 feet
B. 4/13.16 foot
C. 161.21 feet
D. 0.304 feet
You made 280.00 for working 40, which is described by 40y = $280.00x. Determine your earnings per hour.
A. $0.14
B. $70.00
C. $11,200
D. $7.00
(10, 5)
(8, 4)
(4, 2)
The proportional relationship is shown on the graph. Derive the equation of the line y = mx through the origin.
A. y = 4x
B. y = 1/2x
C. y = 2x
D. y = 8x
Graph the proportional relationship y = x by plotting points.
A.
(0, 0)
(1, -1)
(2, -2)
B.
(2, 2)
(0, 0)
(1, 1)
C.
(2, 4)
(1, 2)
(0, 0)
D.
(3, 1)
(0, 0)
(0, 0)
(100, 5)
(200, 10)
(300, 15)
The graph displays the number of miles a car traveled and the gallons of gasoline used. Determine the average miles per gallon.
A. The car averaged 4,500 miles per gallon.
B. The car averaged 15 miles per gallon.
C. The car averaged 300 miles per gallon.
D. The car averaged 20 miles per gallon.
Employee 1 - Earnings per Hour Employee 2 - Earnings per Hour
(0, 0) (0, 0)
(30, 2) (30, 3)
(45, 3) (40, 4)
(60, 4) (50, 5)
Two employees tracked their earnings and hours that they worked. The graphs document the earnings for Employee 1 and Employee 2. Which employee earns more per hour?
A. Employee 1, because Employee 1 earns $30 per hour and Employee 2 earns $10 per hour.
B. Employee 1, because Employee 1 earns $15 per hour and Employee 2 earns $30 per hour.
C. Employee 2, because Employee 1 earns $15 per hour and Employee 2 earns $30 per hour.
D. Employee 2, because Employee 1 earns $10 per hour and Employee 2 earns $15 per hour.
(0, 0)
(1, -3)
(2, -6)
(3, -9)
What is the slope of the line?
A. -6
B. -1
C. -3
D. 3
A. 5/9
Write the ratio 12 : 9 as an equivalent ratio 4 : x.
To find the value of x, we can set up a proportion:
12/9 = 4/x
To solve for x, we can cross-multiply:
12x = 9 * 4
12x = 36
Now, we can divide both sides by 12 to solve for x:
x = 36/12
Simplifying, x = 3
Therefore, the equivalent ratio is 4 : 3.
There are 48 inches in 4 feet, which is represented by the equation 4y = 48x. Determine the number of inches per foot.
To find the number of inches per foot, we need to determine the value of y in the equation 4y = 48x.
First, we divide both sides of the equation by 4:
4y/4 = 48x/4
y = 12x
Now we can see that the ratio of inches to feet is 12 inches to 1 foot, or 12 : 1.
(10, 2)
(5, 1)
Derive the equation of the line y = mx through the origin.
To derive the equation of the line y = mx through the origin, we need to find the value of m, which represents the slope of the line.
The slope of a line can be calculated using the formula:
m = (change in y) / (change in x)
Let's calculate the change in y and change in x using the given points (10, 2) and (5, 1):
Change in y = 1 - 2 = -1
Change in x = 5 - 10 = -5
Now, we can calculate the slope:
m = (-1) / (-5)
When dividing a negative number by a negative number, the negatives cancel out:
m = 1/5
Therefore, the equation of the line y = mx through the origin is y = (1/5)x.
Graph the proportional relationship y = 2x by plotting points.
A.
(1, 4)
(0, 0)
B.
(2, 4)
(1, 2)
(0, 0)
C.
(2, 6)
(1, 3)
(0, 0)
D.
(2, 1)
(0, 0)
To graph the proportional relationship y = 2x, we can choose any values for x and calculate the corresponding values for y.
Let's choose a few values for x and calculate y:
For x = 0, y = 2(0) = 0. This gives us the point (0, 0).
For x = 1, y = 2(1) = 2. This gives us the point (1, 2).
For x = 2, y = 2(2) = 4. This gives us the point (2, 4).
Plotting these points on the graph, we can see that they lie on a straight line.
Therefore, the correct option is B.
(2, 4)
(1, 2)
(0, 0)
(0, 0)
(36, 3)
(72, 6)
(108, 9)
(144, 12)
The proportional relationship between calories and ounces of soda is shown in the graph. How many calories are in 1 ounce?
There are __ calories in 1 ounce of soda.