Question

ILL GIVE BRAINLIEST AND CRAZY POINTS JUST HELP!!!

Assignment: Constant Rate Problems Investigation

Dakota and her dance troupe will be travelling to dance at New York City’s Rockefeller Center. Her ballet teacher said that the girls will leave on a charter bus very early on Thursday morning and their parents will leave a bit later. Dakota wants to do some sightseeing with her mom in New York and is worried that her parents will not catch up with the girls on the charter bus. Help determine if her parents will meet up with the charter bus before the bus gets into New York.

Charter Bus
The bus will leave Norfolk, VA at 6:00 a.m. on Thursday. The distance from Norfolk to New York City is 350 miles. The average speed of the bus is 50 miles per hour.

1. Determine how long it will take the charter bus to arrive in New York City. Represent the distance traveled every hour in a table of values.










2. At what time is the bus expected to arrive in New York City?





Personal Vehicle
Dakota’s parents will leave Norfolk, VA at 7:30 a.m. on Thursday in their personal vehicle. The average speed the vehicle will travel is 70 miles per hour.

3. Determine how long it will take the vehicle to arrive in New York City. Represent the distance traveled every hour in a table of values.










4. At what time is the vehicle expected to arrive in New York City?





Meet Up
Dakota was concerned that her parents would not catch up with the bus.

5. Will her parents who are travelling in their personal vehicle catch up with Dakota on the charter bus? Explain your answer. Include a graphical representation in your explanation.

Answer 1

Charter Bus:

1.

350 ( distance) / 50 ( rate)  = 7 (time in hours).

Conclusion - Will take the charter bus 7 hours to drive from Norfolk to New York.

2.

12  - 6  = 6 A.M  ( counting for time left in this half of the day)

7 - 6 = 1 hour left ( which will be then 1 P.M )

Conclusion- Will arrive in New York City at 1 P.M.

Personal Vehicle:

3.

1 hour : 70 miles, 2 hours : 140 miles, 3 hours : 210 miles, 4 hours : 280 miles,     5 hours : 350 miles.

Conclusion: It will take 5 hours to get to New York City from Norfolk.

4.

12 A.M - 7:30 A.M = 4:30 A.M

5 - 4.5 = 0.5 hours left ( which will be then 12:30 P.M )

Conclusion- Will arrive in New York City at 12:30 P.M.

Meet Up:

5. By looking at the rates/ratios of both vehicles and finding out the time it would take with both vehciles also I figured out that Dakota's parents will arrive first.

I didn't include a graph, I thought that you could do that with the rates of both vehicles.