91Ó°ÊÓ

In computing the dosage for chemotherapy, a patient's body surface area is needed. A good approximation of a person's surface area \(s,\) in square meters \(\left(m^{2}\right),\) is given by the formula $$s=\sqrt{\frac{h w}{3600}},$$ where w is the patient's weight in kilograms (kg) and h is the patient's height in centimeters (cm). (Source: U.S. Oncology.) Use the preceding information. Round your answers to the nearest thousandth. Assume that a patient's weight is 70 kg. Approximate the patient's surface area assuming that: a) The patients height is 150 cm. b) The patients height is 180 cm.

Quick Copy buys an office machine for 5200 dollars on January 1 of a given year. The machine is expected to last for 8 yr, at the end of which time its salvage value will be 1100 dollars. If the company figures the decline in value to be the same each year, then the book value, \(V(t),\) after \(t\) years, \(0 \leq t \leq 8,\) is given by $$V(t)=C-t\left(\frac{C-S}{N}\right)$$ where \(C\) is the original cost of the item, \(N\) is the number of years of expected life, and \(S\) is the salvage value. a) Find the linear function for the straight-line depreciation of the office machine. b) Find the book value after 0 yr, 1 yr, 2 yr, 3 yr, 4 yr, 7 yr, and 8 yr.

Simplify. $$16^{5 / 2}$$

Simplify. $$64^{2 / 3}$$

The R-factor of home insulation is directly proportional to its thickness \(T.\) a) Find an equation of variation if \(R=12.51\) when \(T=3\) in. b) What is the R-factor for insulation that is 6 in. thick?

Impulses in nerve fibers travel at a speed of \(293 \mathrm{ft} / \mathrm{sec}\). The distance \(D,\) in feet, traveled in \(t\) sec is given by \(D=293 t .\) How long would it take an impulse to travel from the brain to the toes of a person who is \(6 \mathrm{ft}\) tall?

The weight \(B\) of a human's brain is directly proportional to a person's body weight \(W.\) a) It is known that a person who weighs 120 lb has a brain that weighs 3 lb. Find an equation of variation expressing \(B\) as a function of \(W.\) b) Express the variation constant as a percent and interpret the resulting equation. c) What is the weight of the brain of a person who weighs 160 lb?

An anthropologist can use certain linear functions to estimate the height of a male or female, given the length of certain bones. The humerus is the bone from the elbow to the shoulder. Let \(x=\) the length of the humerus, in centimeters. Then the height, in centimeters, of a male with a humerus of length \(x\) is given by \(M(x)=2.89 x+70.64\) The height, in centimeters, of a female with a humerus of length \(x\) is given by \(F(x)=2.75 x+71.48\) A 26 -cm humerus was uncovered in some ruins. a) If we assume it was from a male, how tall was he? b) If we assume it was from a female, how tall was she?

Find the equilibrium point for each pair of demand and supply functions. Demand: \(q=1000-10 x ;\) \(\quad\) Supply: \(q=250+5 x\)

Find the equilibrium point for each pair of demand and supply functions. Demand: \(q=(x-4)^{2} ; \quad\) Supply: \(q=x^{2}+2 x+6\) (assume \(x \leq 4)\)