A car traveled 36 miles in 45 minutes, the car traveled at a constant speed. If the the car continues to travel at this rate, which equation can be used to determine y, the total number of miles the car will travels in x hours?
To determine the equation that can be used to determine the total number of miles the car will travel in x hours, we need to convert the given time of 45 minutes into hours.
Since there are 60 minutes in an hour, 45 minutes is equal to 45/60 = 0.75 hours.
Let's denote y as the total number of miles the car will travel in x hours.
Given that the car traveled 36 miles in 45 minutes (0.75 hours), we can write the equation:
0.75 hours / 36 miles = x hours / y miles
Now, rearranging the equation to solve for y, we get:
y = 36 miles * (x hours / 0.75 hours)
Simplifying further, we have:
y = (36/0.75) * x
Therefore, the equation to determine y, the total number of miles the car will travel in x hours, is:
y = 48x
To determine the equation that relates the total number of miles the car will travel, y, with the number of hours, x, we need to understand the given information and the concepts related to constant speed and distance.
We know that the car traveled 36 miles in 45 minutes. Conversion is essential to ensure consistent units. Since we want to find the total number of miles the car will travel in x hours, we need to convert the given time to hours.
Converting 45 minutes to hours:
1 hour = 60 minutes
45 minutes = 45 / 60 = 0.75 hours
Now, we know that the car traveled 36 miles in 0.75 hours. Since the car traveled at a constant speed, we can use the formula:
distance = speed * time
Let's assume that the speed of the car is represented by the letter s. We can rearrange the formula to solve for speed:
speed = distance / time
Plugging in the known values:
speed = 36 miles / 0.75 hours = 48 miles/hour
Now that we have determined the speed, we can find the equation that relates the total number of miles, y, with the number of hours, x.
In x hours, the car will travel at a constant speed of 48 miles/hour. The equation to determine y will be:
y = 48x
Therefore, the equation that can be used to determine y, the total number of miles the car will travel in x hours, is y = 48x.
36 mi/.75 h
y = (36/.75) x
y = 48 x