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.(1 point)
Responses
7 mph
7 mph
104.8 mph
104.8 mph
6.55 mph
6.55 mph
0.15 mph
To determine how many miles John runs per hour, we need to solve the equation 4y = 26.2x for y, where y represents the number of miles he runs per hour.
Dividing both sides of the equation by 4, we get:
y = 26.2/4x
Simplifying this expression, we find:
y = 6.55x
Therefore, 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.(1 point)
Responses
3 centimeters
3 centimeters
91.44 centimeters
91.44 centimeters
2.54 centimeters
2.54 centimeters
0.39 centimeters
To determine the number of centimeters in 1 inch, we need to solve the equation 6y = 15.24x for y, where y represents the number of centimeters in 1 inch.
Dividing both sides of the equation by 6, we get:
y = 15.24/6x
Simplifying this expression, we find:
y = 2.54x
Therefore, the correct answer is 2.54 centimeters.
To determine how many miles John runs per hour, we need to solve the equation 4y = 26.2x for y (miles per hour).
Divide both sides of the equation by 4:
y = (26.2/4) * x
Simplify the right side:
y = 6.55 * x
Therefore, John runs at a speed of 6.55 mph (miles per hour). So the correct answer is 6.55 mph.