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 determine the unit rate for 1 bag of chips, we need to divide the cost of 5 bags by 5.
The equation 5y = $6.25x represents the proportional relationship between the number of bags (x) and the total cost (y).
Dividing both sides of the equation by 5 to solve for y:
y = $6.25x / 5
The equation can be simplified further:
y = $1.25x
Now we have the equation y = $1.25x, which represents the cost (y) of x number of bags.
Since the question asks for the unit rate for 1 bag of chips, we substitute x = 1 into the equation:
y = $1.25(1)
Therefore, the unit rate for 1 bag of chips is $1.25.
To find the unit rate for 1 bag of chips, we need to divide the total cost (in this case, $6.25) by the number of bags it represents (in this case, 5 bags).
First, we can rewrite the proportional relationship equation as:
5y = $6.25x
Since we are interested in the unit rate for 1 bag, we need to find x (the number of bags) when y (the cost) equals $1. We can set up the equation for this:
5(1) = $6.25x
Now we can solve for x:
5 = $6.25x
Divide both sides by $6.25:
5 / $6.25 = x
x = 0.8
So, the unit rate for 1 bag of chips is 0.8.