contestada

n 2.5 hours a hurricane traveled 312.5 miles. If the average rate at which the hurricane is moving increases by 8%, how many miles will the hurricane travel in the next 1.5 hours?

A. 223
B. 202.5
C. 135
D. 101.5

Respuesta :

ImCoolJenny
Ok since 2.5 hours travels 312.5 miles, half of 2.5 hours will be 156.25 miles. Half of 2.5 hours will be 1.25, so it has to be greater than C or D. The average rate is 0.08. And the sum will be very long and I did the math and i believe that the answer can't end without a decimal so I highly recommend that the answer is B
LucianoBordoli

Answer:

The hurricane will travel [tex]202.5 mi[/tex]

Therefore, the correct answer is B.202.5

Step-by-step explanation:

We define the average speed rate as the position variation divided by the time variation ⇒ Given that the hurricane traveled 312.5 miles in 2.5 hours :

Average speed rate = Position variation / time variation = Δx / Δt = [tex]\frac{312.5mi}{2.5h}=125\frac{mi}{h}[/tex]

Now, the average speed rate increases by 8% :

[tex]\frac{125\frac{mi}{h}}{100}=\frac{x}{108}  \\x=(\frac{125\frac{mi}{h}}{100}).(108)=135\frac{mi}{h}[/tex]

The new average speed rate is [tex]135\frac{mi}{h}[/tex]

Given that [tex]Speed=\frac{Distance}{Time}[/tex] ⇒

[tex]Distance= (Speed).(Time)[/tex]

In the next 1.5 hours the hurricane will travel

[tex]Distance=(135\frac{mi}{h}).(1.5h)=202.5mi[/tex]

The correct answer ir B.202.5