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Zolol [24]
3 years ago
14

A student who is training for a distance race jogged for thirty minutes and covered a distance of 7.5 km. What is the average sp

eed of the student?
Mathematics
1 answer:
Tju [1.3M]3 years ago
3 0

Answer:

<h2>Average speed is 15km/h</h2>

Step-by-step explanation:

Step one:

given data:

total distance =7.5km

time taken= 30 min= 0.5 hours

we know that the average speed is the average distance divided by time taken

Step two:

mathematically expressed as

speed=distance/time

substituting we have

speed=7.5/0.5

speed=15km/hour

Hence the average speed is 15km/h

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These tables represent an exponential function.Find the average rate of change for the interval from x=8 to x=9
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Answer:

Option D. 13122 is the answer.

Step-by-step explanation:

As we can see from the table having interval and average rate of change, figures under average rate of change are forming a geometric sequence.

Sequence is 2, 6, 18 , 54, 162, 486.

and we have to find the average rate of change from x = 8 to x = 9, means we have to find 9th term of the given sequence.

Now we know that explicit formula of the sequence can be written as T_{n}=ar^{n-1}

where Tn is the nth term of the sequence.

a = first term

r = common ratio

n = number of the term

Now from this explicit formula we can find the 9th term of the sequence.

From the given table

a = 2, r = 3, n = 9

T_{9}=2.3^{9-1}=2.3^{8}

T9 = 13122

Therefore Option D. 13122 will be the answer.

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