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. $31.25
B. $1
C. $0.80
D. $1.25
To determine the unit rate for 1 bag of chips, we need to find the value of y when x = 1 in the equation 5y = $6.25x.
Substitute x = 1 into the equation:
5y = $6.25(1)
5y = $6.25
Divide both sides of the equation by 5:
y = $6.25/5
y = $1.25
Therefore, the unit rate for 1 bag of chips is $1.25.
The correct answer is D. $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.
6.55 mph
0.15 mph
104.8 mph
7 mph
To determine how many miles John runs per hour, we need to find the value of y when x = 1 in the equation 4y = 26.2x.
Substitute x = 1 into the equation:
4y = 26.2(1)
4y = 26.2
Divide both sides of the equation by 4:
y = 26.2/4
y = 6.55
Therefore, John runs at a speed of 6.55 miles per hour.
The correct answer is 6.55 mph.
The proportional relationship 15.24 centimeters in 6 inches is represented by 6y=15.24x. Determine the number of centimeters in 1 inch.
To determine the number of centimeters in 1 inch, we need to find the value of y when x = 1 in the equation 6y = 15.24x.
Substitute x = 1 into the equation:
6y = 15.24(1)
6y = 15.24
Divide both sides of the equation by 6:
y = 15.24/6
y = 2.54
Therefore, there are 2.54 centimeters in 1 inch.
The correct answer is 2.54 centimeters.
To determine the unit rate for 1 bag of chips, we need to divide the total cost ($6.25) by the quantity of bags (5).
Unit rate = Total cost / Quantity of bags = $6.25 / 5
Simplifying the expression:
Unit rate = $1.25
Therefore, the unit rate for 1 bag of chips is D. $1.25.
To determine the unit rate for 1 bag of chips, we need to understand the proportional relationship between the number of bags and the cost.
In the given equation, 5y = $6.25x, 'y' represents the cost of 'x' bags of chips.
The equation tells us that for every 'x' bags of chips, the cost is (6.25 / 5) * 'x' dollars.
To find the unit rate for 1 bag of chips, we need to substitute 'x' with 1 in the equation:
5y = (6.25 / 5) * 1
Simplifying, we get:
5y = 6.25 / 5
Now, we solve for 'y':
y = (6.25 / 5) / 5
y = (6.25 / 25)
y = 0.25
So, the unit rate for 1 bag of chips is $0.25.
Among the given answer choices, the closest option to $0.25 is option C, $0.80. However, none of the provided answers exactly match the correct unit rate.