# Tutor profile: Patricia T.

## Questions

### Subject: ISEE

Should you answer all questions on the ISEE?

Absolutely! There is no penalty for wrong answers on the ISEE so be sure to answer every question, and take a guess if necessary. On each section, be aware of your time and use the last few minutes to mark an answer for every single question.

### Subject: Pre-Calculus

Evaluate the difference quotient for f(x) = 4x^{2}

frac{f(x +h) - f(x)}{h} = frac{4(x + h)^{2} -4x^{2}}{h} = frac{4(x^{2} +2hx + h^{2}) - 4x^{2}}{h} = frac{4x^{2} + 8hx + 4h^{2} - 4x^{2}}{h} = frac{8hx + 4h^{2}}{h} = 8x + 4h

### Subject: Algebra

A customer has 10 coupons. Each coupon offers 10% off the purchase price. There is no restriction as to the number of coupons a customer can use. The customer buys a pair of boots which costs $80. How much will the customer pay if they use all 10 coupons & there is sales tax of 8%?

To figure out the problem algebraically & not have to perform the 10% discount off of the amount 10 times, we can multiply the price of the boots (80.00) by 90% (.90) ten times. We multiply by 90% because it is the same as reducing the price by 10%. x=(80.00)(.90)^{10} (1.08) x=30.13 The customer pays $30.13

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