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)
Responses
A 3=600x
3 equals 600 x
B y=6003
y equals Start Fraction 600 over 3 End Fraction
C 600=3x
600 equals 3 x
D y=600×3
y = 600x
The correct response is:
A) 3 = 600x
The correct equation for direct variation is option C: 600 = 3x.
To arrive at this equation, you need to understand the concept of direct variation. In direct variation, two variables (in this case, miles and hours) are related in such a way that when one variable increases or decreases by a certain factor, the other variable also increases or decreases by the same factor. In other words, the ratio of the two variables remains constant.
In this case, the rate of the jet is given as 600 mph (miles per hour), and we want to find the number of miles the jet travels in 3 hours. Let's call the number of miles traveled "x". Since the rate is 600 mph, we can set up the equation as:
Rate = Miles / Time
600 mph = x / 3 hours
To find the number of miles, multiply both sides of the equation by 3:
3 * 600 mph = x
1800 miles = x
So, the correct equation to find the number of miles a jet travels in 3 hours is 600 = 3x, which matches option C.