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. 3 = 600x
B. 600 = 3x
C. y = 600 x 3
D. Y = 600/3
B. 600 = 3x
The correct equation for direct variation is in the form y = kx, where y represents the dependent variable (number of miles), k represents the constant of variation, and x represents the independent variable (number of hours).
In this case, since the jet is flying at a rate of 600 mph, the number of miles it travels depends on the number of hours flown. Therefore, the equation is:
y = 600x
Therefore, the correct answer is A. 3 = 600x.
To write a direct variation equation, we need to identify the variables involved. In this case, we are looking for the number of miles traveled (let's call it y) and the time in hours (let's call it x).
In a direct variation equation, the two variables are directly proportional to each other, meaning they increase or decrease at the same rate. This can be represented mathematically as y = kx, where k is a constant of proportionality.
Given that the jet is flying at a rate of 600 mph and we want to find the number of miles traveled in 3 hours, we can write the direct variation equation as y = 600x.
So, the correct answer is option A: 3 = 600x.