re https://login.i-ready.com/student/dashboard/home The distance from NYC to Margate, New Jersey, on our route is 130 miles. Use the equation to find t, the time needed to drive this distance. Equation: d=60t
The Correct Answer and Explanation is :
To find the time ( t ) needed to drive from NYC to Margate, New Jersey, we can use the given equation ( d = 60t ), where:
- ( d ) is the distance traveled (in miles),
- ( t ) is the time (in hours),
- 60 is the speed in miles per hour.
Step 1: Write the given equation
The given equation is:
[
d = 60t
]
Step 2: Plug in the known distance
We know the distance from NYC to Margate is 130 miles. So, we substitute ( d = 130 ) into the equation:
[
130 = 60t
]
Step 3: Solve for ( t )
To find ( t ), we need to isolate it on one side of the equation. To do that, divide both sides by 60:
[
t = \frac{130}{60}
]
Step 4: Perform the division
Now divide 130 by 60:
[
t = 2.167 \text{ hours}
]
So, the time ( t ) needed to drive from NYC to Margate is approximately 2.17 hours, which can be rounded to 2 hours and 10 minutes.
Explanation:
This equation models a situation where the driver is traveling at a constant speed of 60 miles per hour. The equation ( d = 60t ) represents the relationship between distance and time for the trip. The distance ( d ) is proportional to time ( t ), with 60 miles traveled every hour. To determine how long it will take to travel a specific distance, we solve for time by dividing the total distance by the speed. In this case, dividing 130 miles by 60 miles per hour gives us approximately 2.17 hours. This result tells us that the drive will take about 2 hours and 10 minutes, assuming a constant speed and no stops or delays.