Write a direct variation equation to find the number of miles a jet travels in 3 hours if it is flying at a rate of 600 mph.
A: Y=600/3
B: 3=600x
C: 600=3x
D: y=600x3
C: 600=3x
To write a direct variation equation, we can use the formula y = kx, where y represents the dependent variable, x represents the independent variable, and k represents the constant of variation.
In this case, the number of miles traveled is the dependent variable, and the time in hours is the independent variable. The rate at which the jet is flying, 600 mph, represents the constant of variation.
Since we need to find the number of miles the jet travels in 3 hours, we can use y as the number of miles and x as the time in hours. Therefore, the correct direct variation equation is:
C: 600 = 3x
The correct answer is C: 600 = 3x.
In a direct variation equation, the relationship between two variables is expressed using the formula y = kx, where y represents the dependent variable, x represents the independent variable, and k represents the constant of variation.
In this case, the number of miles traveled by the jet (y) is directly proportional to the time (x) it takes to travel those miles. The rate at which the jet is flying (600 mph) is the constant of variation.
Therefore, to find the number of miles the jet travels in 3 hours, we set up the direct variation equation as 600 = 3x, where x represents the number of hours and 3 represents the given time of 3 hours.