3. 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, we need to find the cost of 1 bag of chips.
Given that 5 bags cost $6.25, we can set up the equation:
5y = $6.25x
Dividing both sides of the equation by 5, we get:
y = $6.25/5x
y = $1.25x
This equation indicates that for every x, the corresponding y is $1.25. Thus, the unit rate for 1 bag of chips is $1.25.
4. 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 when x represents hours.
Given that 4 hours is equivalent to 26.2 miles, we can set up the equation:
4y = 26.2x
Dividing both sides of the equation by 4, we get:
y = 26.2/4x
y = 6.55x
This equation indicates that for every x, the corresponding y is 6.55. Thus, John runs 6.55 miles per hour.