Determine the unit rate for 1 bag of chips if 5 bags cost $6.25; the proportional relationship is described by 5y=$6.25x.
To find the unit rate for 1 bag of chips, we need to determine how much 1 bag of chips costs.
From the given relationship, we know that 5 bags cost $6.25:
5y = $6.25x
To find the unit rate, we can divide both sides of the equation by 5:
y = ($6.25/5)x
Simplifying the expression, we have:
y = $1.25x
So, 1 bag of chips costs $1.25.
Therefore, 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.
To determine how many miles John runs per hour, we need to find the value of y, which represents the number of miles he runs in one hour.
From the given relationship, we have:
4y = 26.2x
To isolate y, we divide both sides of the equation by 4:
y = (26.2/4)x
Simplifying the expression, we have:
y = 6.55x
Therefore, John runs 6.55 miles per hour.
So, John runs 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.
To find the number of centimeters in 1 inch, we need to determine the value of y when x = 1.
From the given relationship, we have:
6y = 15.24(1)
Simplifying the expression, we have:
6y = 15.24
Now, we isolate y by dividing both sides of the equation by 6:
y = 15.24/6
Calculating this expression, we find:
y = 2.54
Therefore, there are 2.54 centimeters in 1 inch.
To determine the unit rate for 1 bag of chips, we need to find the value of y when x is 1 in the proportional relationship equation.
Given: 5y = $6.25x
Let's substitute x = 1 into the equation:
5y = $6.25(1)
5y = $6.25
Now, to find the value of y, we can solve for y by dividing 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.
To determine the unit rate for 1 bag of chips, we need to simplify the proportional relationship equation: 5y = $6.25x.
The equation represents the relationship between the number of bags of chips (x) and the cost (y) in dollars. In this case, there are 5 bags and the cost is $6.25.
To find the unit rate, we need to isolate y by dividing both sides of the equation by 5:
(5y)/5 = (6.25x)/5
Simplifying, we get:
y = (6.25/5)x
Now, we have the equation in the form y = mx, where m represents the unit rate.
So, the unit rate for 1 bag of chips is (6.25/5).