# Tutor profile: Christy R.

## Questions

### Subject: Writing

John is not only a great chef, but also kind. Describe the error in the sentence and make any necessary corrections.

When using "not only...but also", we must be extra careful with checking for parallelism. The words following both parts of this correlative conjunction must belong to the same parts of speech. When we look at "a great chef" versus "kind", the former is made of an article+adjective+noun, while the latter is only an adjective. For proper formatting, we can rewrite the sentence as "John is not only a great chef, but also a kind person."

### Subject: English as a Second Language

Jack, Alice, and John went to the playground after school. He shared his snack with his friends. Describe the error in this sentence and make any necessary corrections.

"He" in the second sentence is ambiguous, as there are three friends who went to the playground. In order to avoid confusion, we can rewrite the second sentence as "Jack shared his snack with his friends."

### Subject: Algebra

Janice is renovating her bathroom floor for the first time and is currently replacing the tiling on the floor. Initially, she had a difficult time and was only able to remove 3 tiles on the first day. She began to work faster, and by the end of the third day, she had removed a total of 15 tiles. On the fourth day, a friend came by to help her, and together, they were able to remove 17 tiles. Janice worked at a steady rate after the first day. Use point-slope form to determine how many days Janice took to replace all of the 200 tiles in her bathroom floor. She did not have any further help after the fourth day.

Point slope format is: y-$$y_{1} $$=m(x-$$x_{1} $$), where m is the slope of the line and, ($$x_{1} $$, $$y_{1} $$) is any coordinate on that line. In this particular problem, we are asked to find how many days (x) it will take Janice to replace 200 tiles (y). First, we must find the slope aka Janice's working rate. The problem tells us she worked at a steady rate after the first day. She removed 3 tiles by the end of her first day. This can be represented by the coordinate (1, 3). By the end of the third day, she had removed 15 tiles, represented by (3, 15). Now, in order to find the slope m, we must calculate the change in y over the change in x. So m=(15-3)/(3-1), which equals 6. This means on her own, Janice steadily placed 6 tiles each day starting from day 1. Now remember that Janice's friend came by to help her on the fourth day. Together, they removed 17 tiles, which puts the total count by the end of this day at 15+17=32 tiles. As a coordinate, this can be written as (4, 32). We will now use the point-slope equation to figure out how many days it took Janice to reach 200 tiles after this fourth day. We do this by plugging in our known values into the equation y-$$y_{1} $$=m(x-$$x_{1} $$). So 200-32=6(x-4). If we simplify this, it becomes 168=6(x-4). Divide by 6 on both sides, then add 4, and we get x=32. Janice completed her task in 32 days.

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