# Tutor profile: Mira M.

## Questions

### Subject: Nursing

You are given the following lab values: Hct 43%; Hgb 14g/dL; WBC 13,000/mm3; and INR 1.0. Identify which lab value is out of range, state whether it is high or low, and identify a potential cause of the abnormal value.

The WBC is high. Often, WBC count may be elevated due to infection. It is important to assess the patient for signs and symptoms of infection. 1. The first step is to identify which lab value is out of range. The normal ranges are as follows: Hct 37-52%; Hgb 12-18g/dL; WBC 5,000-10,000/mm2; and INR 0.8-1.1. The WBC is out of range. 2. The next step is to identify if the abnormal value is high or low. In this case, the WBC is high. 3. Finally, it is important to critically think about what may be causing the abnormal value. Often, WBC is elevated in the presence of infection.

### Subject: Basic Math

Solve the equation. (2 - (1/3)) * (4 + 3) - 12 = x

The answer is -1/3. 1. Following the order of operations, the first thing to address is the parentheses. To subtract fractions, it is easiest to convert both numbers to having the same denominator. To make the number 2 into a fraction with a 3 in the denominator, multiply 2 times 3. The equation then becomes ((6/3) - (1/3)) * (4 + 3) - 12 or (5/3) * (7) - 12. 2. Following the order of operations, the next thing to do is multiply. To multiply fractions and whole numbers, it is easiest to think of the whole number as being over a 1. In this case, (5/3) * (7/1) - 12. The you multiply the numerators together and the denominators together, giving you (35/3) - 12. 3. The final step is to subtract. Again, it will be easiest to subtract after converting both numbers to having the same denominator. Multiply 12 by 3 to give (35/3) - (36/3) = -1/3.

### Subject: Algebra

The following are points on a graph: (-7.5, 12); (-3.5, 0); (-1, -7.5); (2, -16.5); (3.5, -21). Write the function that describes the relationship between the given points.

The answer is f(x)= -3x - 10.5 . 1. The first step is to start with your basic slope intercept form equation y = mx + b. 2. The second step is to calculate the slope. To calculate the slope, you divide the "rise" (the vertical amount) by the "run" (the horizontal amount) using the formula (y2 - y1) / (x2 - x1). You do this by choosing any two coordinates from the data. To make it easier I am going to select (-3.5, 0) and (-1, -7.5). So the formula is (0 - (-7.5)) / (-3.5 - (-1)) or (0 + 7.5) / (-3.5 + 1) which comes out to 7.5 / -2.5 = -3. 3. Now that we have found our slope "m", we can plug that into our equation. y = -3x + b. The third step is to plug in one pair of coordinates to find "b" also known as the y intercept. To make it easier, I am going to use the point (-3.5, 0). So, the equation is now 0 = -3*(-3.5) + b which gives us 0 = 10.5 + b. or -10.5 = b. 4. Next we plug "b" into our equation, giving us y = -3x - 10.5. We can then test our answer using any of the coordinates. For example, the coordinates (2, -16.5). -16.5 = -3*(2) -10.5 or -16.5 = -6 -10.5. Both sides are equal to each other so we know our equation is correct. Therefore, the answer is f(x) = -3x -10.5