Word Problem Day Chapter 6 Algebra 2 Trig Answers on a separate sheet.
1. A study determined that the weight “w” in grams of coral cod near Palawan Island, Philippines can be approximated using the model
where “l” is the coral cod’s length. Estimate the length of a coral cod that weighs 200grams.
2. A bowling ball has a surface area of about 232 square inches. Find the radius of bowling ball. (Formula for Surface Area )
3. The body surface A (in square meters) of a person with a mass of 60 kilograms can be approximated by the model where h is the person’s height in centimeters.
a. Find the inverse of the model
b. Estimate the height of a 60 kilograms person who has a body surface
area of 1.6 square meters.
4. A store has two sales going simultaneously. Option 1 is $15 off
with the purchase of 4 DVD’s. Option 2 is 10% off when you open a charge account with the store.
a. Write an equation of the function to find the price paid for $85 worth
of merchandise when you take Option 1 then Option 2
b. Write an equation if you take Option 2 first then Option 1
c. Which is the better deal for the purchaser?
5. The maximum horizontal distance d that an object can travel when launched at an optimum angle of projection is given by where h is the objects initial height, v is its initial speed, and g is the acceleration due to gravity. Simplify the model when h = 0.
6. The formula for the volume V of a sphere in terms of its surface area S is .
a. Simplify the right side of the equation.
b. A candlepin bowling ball has a surface area of about 79 square inches.
What is its volume?
c. A 10-pin bowling ball has a surface area of about 232 square inches.
What is its volume?
7. The euro is the unit of currency for the European Union. On a certain day, the number E of euros that could be obtained for D dollars was given by the function Find the inverse of the function. Use the inverse to find the number of dollars that could be obtained for 250 euros on that day.
8. Elastic bands can be used in exercising to provide a range of resistance. A band’s resistance R(in pounds) can be modeled by where L is the total length of the stretched band (in inches). Find the inverse. Use the inverse function to find the length at which the band provides 19 pounds of resistance.
9. The shoulder height (h) of a male African elephant can be modeled by where t is the age of the elephant. Compare the ages of two elephants, one with shoulder height of 150 cm and the other 250 cm.
10. A model rocket is launched 25 ft from you. When the rocket is at height h, the distance d between you and the rocket is given by where h & d are measured in ft. What is the rockets height when the distance between you and the rocket is 100 ft?
11. The kinetic energy E (in joules) of a 1250 kilogram compact car is given by the equation E=625s2 where s is the speed of the car (in meters per second).
a. Write an inverse model that gives the speed of the car as a function of
its kinetic energy.
b. Use the inverse model to find the speed of the car if it’s kinetic energy is
120,000 juoles.
c. If the kinetic energy doubles, will the speed double? Explain why or
why not.