Write a unit rate for the situation. Round to the nearest hundredth if necessary.
2 answers:
Answer: The correct option is
(D) 0.85 miles/min.
Step-by-step explanation: We are given to find the unit rate for the following situation :
"driving 140 miles in 2 hour 45 min."
We know that
1 hour = 60 minutes.
So, we get
2 hours 45 minutes = 2 × 60 + 45 = 120 + 45 = 165 minutes.
Now, we will use the UNITARY method.
In 165 minutes, distance drove = 140 miles.
Therefore, in 1 minutes, distance drove is given by
Thus, the required unit rate is 0.85 miles/minute.
Option (D) is CORRECT.
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Answer:
The rate at which the distance between the two people is changing 15 seconds later is 7.28 ft/sec.
Step-by-step explanation:
Here, we note the following
Let the person walking way fom the elevator be X
Let the other person going up in the elevator be Y
Therefore after 15 seconds, their positions will be;
For X, 2 ft/sec × 15 s = 30 ft away from the elevator
For Y, 7 ft/sec × 15 s = 105 ft up in the elevator
At that instant, the distance between them is given as
d² = x² + y²
= 30² +105² = 11925 ft²
d = √11925 ft² = 109.202 ft
The rate of change of the distance between the two peopl, X and Y is given as
Therefore, or
Since is given as 2 ft/sec and
= 7 ft/sec
Then