# Tutor profile: Stacey S.

## Questions

### Subject: Spanish

What is wrong with the following sentence? Me gusta las películas de ciencia ficción.

"Me gusta" is a common phrase in Spanish that roughly translated to "I like" The verb gustar -- "to like" is combined with a reflex pronoun to be the subject of the sentence. gustar is not conjugated to match the typical subject of the sentence, yet the object/activity that one likes. "las películas" is plural, therefore gustar should be conjugated as "gustan" in the sentence. Me gustan las películas de ciencia ficción.

### Subject: SAT

The mean number of students per classroom, y, at Hilltop High School can be estimated using the equation y= 0.6724x + 25.117, where x represents the number of years since 2004 (and x is less than or equal to 10). Which of the following statements is the best interpretation of the number 0.6724 in the context of this problem? A The estimated mean number of students per classroom in 2004 B The estimated mean number of students per classroom in 2014 C The estimated yearly decrease in the mean number of students per classroom D The estimated yearly increase in the mean number of students per classroom

When an equation is written in the form y = mx + b, the coefficient of the x-term (in this case 0.6724) is the slope. The slope of a linear equation gives the amount that the mean number of students per classroom (represented by y) changes per year (represented by x). This means A and B are not correct because they pertain to the mean numbers only and not how they are changed. Between C and D, we look if the slope is positive or negative and that determines if there is a increase or decrease in the mean. In this case there is a increase! Meaning the correct answer is D.

### Subject: Algebra

During the summer Matt & Stacey love to play basketball. Stacey has won 7 more games than Matt. In total they played 33 games of basketball. How many games did Matt win?

We are trying to figure out how many games Matt won during the summer. We will assign Matt the variable "x" to represent the numerical amount of games he won. We know Stacey won 7 more games than Matt, to represent Stacey we would have to write the expression as "x+7" The total number of games played between Stacey and Matt was 33. Stacey's Wins + Matt's Wins = 33 (x+7) + (x)= 33 x+7+x =33 Then you would combine like terms to make the equation simpler. 2x+7 = 33 Next step is to subtract 7 from both sides to keep the equation balanced while minimizing terms. 2x=26 Now that it is just 2x by itself we can divide by 2 to isolate the variable and solve the equation. 2x/2 = 26/2 x=13 We then plug our answer back into our original expressions to make sure it makes sense in the word problem. "x" = Matt's Wins (13) "x+7" = Stacey's Wins (13+7)=20 If we are saying Matt has 13 wins, then we are saying Stacey has 20 wins. 13+ 20 gives us our 33 wins in total. Answering the question that Matt won 13 Basketball games against Stacey.

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