Cost of Pencils
Quantity Cost
($)
48 12.00
24 6.00
12 3.00
6 1.50
Determine the cost for 1 pencil.
(1 point)
Responses
$9.00
$9.00
$0.25
$0.25
$25.00
$25.00
$4.00
$0.25
Use the table to answer the question.
Linear Measurement
Inches Centimeters
5 12.7
4 10.16
3 7.62
2 5.08
How many centimeters are in 1 inch?
(1 point)
Responses
0.394 centimeters
0.394 centimeters
2.54 centimeters
2.54 centimeters
25.08 centimeters
Start fraction 2 over 5.08 end fraction centimeters
3.54 centimeters
2.54 centimeters
Determine the unit rate for 1 bag of chips if 5 bags cost $6.25; the proportional relationship is described by 5y=$6.25x.
A. $1
B. $31.25
C. $1.25
D. $0.80
C. $1.25
Explanation: To determine the unit rate for 1 bag of chips, you need to divide the total cost by the quantity of bags. In this case, divide $6.25 by 5 bags:
$6.25 / 5 = $1.25
So, the unit rate for 1 bag of chips is $1.25.
John runs a marathon (26.2 miles) in 4 hours. Determine how many miles he runs per hour if the proportional relationship is represented by 4y=26.2x.
A. 104.8 mph
B. 0.15 mph
C. 6.55 mph
D. 7 mph
C. 6.55 mph
Explanation: To determine how many miles John runs per hour, you need to divide the total distance by the total time taken. In this case, divide 26.2 miles by 4 hours:
26.2 miles / 4 hours = 6.55 miles per hour
So, John runs at a rate of 6.55 miles per hour.
The proportional relationship 15.24 centimeters in 6 inches is represented by 6y=15.24x . Determine the number of centimeters in 1 inch.
A. 0.39 centimeters
B. 91.44 centimeters
C. 2.54 centimeters
D. 3 centimeters
C. 2.54 centimeters
Explanation: To determine the number of centimeters in 1 inch in the proportional relationship, you need to solve for x when y = 1 (since you want to find the number of centimeters in 1 inch). From the given proportional relationship:
6y = 15.24x
Solving for x when y = 1:
6(1) = 15.24x
6 = 15.24x
x = 6 / 15.24
x ≈ 0.393701
Therefore, the number of centimeters in 1 inch is approximately 2.54 centimeters.