# Tutor profile: Stav N.

## Questions

### Subject: SAT

Select the letter whose phrase has an error. If there are no errors pick E. A. (The introduction of) elevators in hotels meant that B. (previously undesirable) rooms on the top floors, C. (away from) the bustle and noise of the street, became sought after and more expensive than D. (the lower floors). E. (No error.)

Answer: D. For D to not be a mistake in the sentence, the phrase would have to be: than rooms on lower floors. As it stands now, the sentence is comparing rooms on the top floors to simply the lower floors (not rooms on the lower floors).

### Subject: SAT

For some real positive number 'b,' the first 3 terms in a geometric sequence (progression) are b-1, b+4, 3b+2. What is the numerical value of the fourth term?

Since this is a geometric sequence, there is a common ratio between terms. Therefore: term 2 / term 1 = term 3 / term 2 (b+4) / (b-1) = (3b+2) / (b+4) Solve this equation: Cross multiply: (b+4)(b+4) = (b-1)(3b+2) Expand: b^2 + 8b _ 16 = 3b^2 - b - 2 Subtract over to one side: 2b^2 - 9b - 18 = 0 Factor: (2b+3)(b-6) = 0 Set each term equal to 0 and solve: b = -2/3 or 6 'b' was said to be a positive, real number so we can eliminate -2/3 Back at the original equation: (b+4) / (b-1) = (3b+2) / (b+4) Since b = 6, we can solve for the terms: term 1 = b-1 = 5 term 2 = b+4 = 10 term 3 = 3b+2 = 20 Find term 4: term 3 / term 2 = term 4 / term 3 Substitute: 20/10 = (term 4)/20 Solve: 2 = term 4 / 20 --> 40 Or another method to solve is to say that the geometric ratio is 2 (as seen by dividing term 2 by term 1 or term 3 by term 2 in the initial equation). Thus by multiplying the third term by the geometric ratio, the forth term is: 20*2 = 40. Answer: 40

### Subject: Writing

What is the intended audience of an essay? How do you alter your writing to best target the intended audience?

The intended audience is whoever is supposed to be persuaded or informed of the topic that is being described in the essay. There are many ways to gear your writing towards your target audience. If they are knowledgeable about the issue, you may describe less of the details in the basic information and focus more on the analysis. This way those who are knowledgeable are not bored by the basic facts. Conversely, if the audience does not know anything about the issues, it would be beneficial to describe the basics so as not to leave the audience confused. In a similar manner word choice (vocabulary), introduction grabbers, and conclusions can be geared towards the intended audience to draw them in.

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