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Danny is taking a road trip. After 36 miles, he reaches a stretch of highway with a speed limit of 60 miles/hour. Danny is trying to figure out the minimum number of hours he’ll need to drive to reach over 300 total miles for the trip, assuming he stays under or at the speed limit.

He creates the inequality 60t + 36 ≥ 300, where t is the time elapsed, in hours.

What statement is the most accurate?

A.
Danny needs at least 7 hours to drive 300 miles.
B.
Danny may drive 300 miles in 5 hours.
C.
At 4 hours, Danny will have just driven 300 miles.
D.
It isn’t possible to drive 300 miles before the day is over.

Respuesta :

julianhensley

Answer:

B.

Step-by-step explanation:

In 5 hours Danny will drive 300 and then you add 36 for it to be over 300 miles.

Answer:

B. Danny may drive 300 miles in 5 hours.

Step-by-step explanation:

We have been given that Danny creates an inequality [tex]60t+36\geq 300[/tex], where t is the time elapsed, in hours.

We are asked to find the most accurate statement about the time.

Let us solve for t.

[tex]60t+36-36\geq 300-36[/tex]

[tex]60t\geq 264[/tex]

[tex]\frac{60t}{60}\geq \frac{264}{60}[/tex]

[tex]t\geq 4.4[/tex]

This means that after 4.4 hours Danny will complete the 300 miles.

Upon looking at our given choices, we can see that option B is most accurate.

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