O 3 = 600x © 600 = 3x y = 600/3 y = 600 * 3
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. (1 point)
The 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 is:
miles = speed × time
miles = 600 mph × 3 hours
miles = 1800 miles
To write a direct variation equation, we need to relate the variables in the equation. In this case, we want to find the number of miles a jet travels in 3 hours if it is flying at a rate of 600 mph.
Let's assign the variable "m" to represent the number of miles the jet travels and "h" to represent the number of hours it flies.
From the given information, we know that the jet is flying at a rate of 600 mph, so the jet travels 600 miles in 1 hour.
Using this information, we can write the direct variation equation:
m = k * h
Where:
m = number of miles traveled
h = number of hours flown
k = constant of variation
Since the jet travels 600 miles in 1 hour, we can plug in these values to solve for k:
600 = k * 1
Simplifying the equation, we find:
k = 600
Now that we know the value of k, we can rewrite the direct variation equation:
m = 600 * h
To find the number of miles the jet travels in 3 hours, we substitute h = 3 into the equation:
m = 600 * 3
Simplifying the equation, we find:
m = 1800
Therefore, the jet travels 1800 miles in 3 hours if it is flying at a rate of 600 mph.
Sure!
We can use the formula for direct variation, which is in the form y = kx, where y represents the dependent variable, x represents the independent variable, and k represents the constant of variation.
In this case, we are trying to find the number of miles a jet travels in 3 hours at a rate of 600 mph. Let's represent the number of miles as y and the number of hours as x.
Given that the jet is flying at a rate of 600 mph, we have:
y = 600x
Now, we want to find the number of miles the jet travels in 3 hours, so we substitute x with 3:
y = 600(3)
Simplifying:
y = 1800
Therefore, the direct variation equation to find the number of miles a jet travels in 3 hours at a rate of 600 mph is:
y = 1800