A drivers distance varies directly as the amount of time traveled. After six hours, a driver had traveled 390 miles. How far had the driver traveled after 4 hours?
4 is 2/3 of 6, so he traveled
2/3 of 390 = 260 miles
you can use a simple proportion
6/390 = 4/x
6x = 1560
x = 260
or
it looks like he is traveling at 65 mph
so in 4 hours he would go 260 miles
Thank you guys!
the table below displays the distance driven during each 1hour interval of a 4 hour trip. 1hour 55.25 miles. 2hour 64 3/4. 3hour 52 3/10. 4hour 67.89 Which is closest to the total distance driven?
A.235 miles
B 240 miles
C 245 miles
D250 miles
To solve this problem, we need to determine the constant of variation (k) that relates the distance traveled to the amount of time traveled. Once we find the value of k, we can use it to find the distance after 4 hours.
The equation representing the relationship between distance (D) and time (T) is:
D = k * T
In this case, we are given that after 6 hours (T = 6), the driver had traveled 390 miles (D = 390).
So, we can substitute these values into the equation to find the value of k:
390 = k * 6
To solve for k, divide both sides of the equation by 6:
k = 390 / 6
k = 65
Now that we know the constant of variation (k = 65), we can use the equation to find the distance after 4 hours (T = 4):
D = k * T
D = 65 * 4
D = 260
Therefore, the driver had traveled 260 miles after 4 hours.