Question

The average of x and t is y. If s = 2y, what is the average of s, x,
and t in terms of y?
А. Зу
B. 2y
C. 5y/3
D. 4y/3
E. y

Answer 1

Answer: D. 4y/3

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Explanation:

First focus on the fact that "the average of x and t is y". This means

(x+t)/2 = y

We basically add x and t, then divide by 2 to get the average y

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We are then told that s = 2y, so we double the average

s = 2y

s = 2(x+t)/2

s = x+t .... notice the 2's cancel each other out when dividing

s turns out to be the sum of x and t, which is fitting I think

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Now find the average of s, x, and t. You'll add the three values and divide by 3

(s+x+t)/3

(s + (x+t))/3

(s + s)/3 .... replace x+t with s

2s/3

2(2y)/3 ... plug in s = 2y

4y/3

Answer 2

The average of s, x, and t in terms of y is 4y/3. The correct option is D. 4y/3

Calculating Average

From the question, we are to determine the average of s, x, and t in terms of y

From the given information

The average of x and t is y

That is,

(x+t)/2 = y

∴ x + t = 2y

Also,

s = 2y

The average of s, x, and t is

(s + x + t) / 3

Putting the values of x + t and s into the above expression, we get

(2y + 2y)/3

This becomes

4y/3

Hence, the average of s, x, and t in terms of y is 4y/3. The correct option is D. 4y/3

Learn more on Calculating average here: https://brainly.com/question/20118982

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