68) When Ezra works an 8-hour day, he earns $90.40 plus a 5% commission on everything he sells. Ezra’s daily gross pay, P (in dollars), can be described by the function P(s) 0.05s 90.40, where s is the value of his sales, in dollars. a) How much would he earn if he sold $400.00 worth of merchandise? $110.40 b) Find Ezra’s gross pay if his sales totaled $290.00. $104.90 c) If Ezra’s gross pay on a Saturday was $143.40, fi nd the value of the merchandise he sold that day. $1060.00 When skeletal remains are found at a crime scene, forensic scientists use formulas based on the person’s sex, ethnicity, and bone length to estimate the person’s height. Use the following formulas to answer the questions. (The tibia is a bone in the lower leg, and the humerus is a bone in the upper arm.) (http://forensics.rice.edu) 69) The height, h (in cm), of an Asian male in terms of the length of his tibia, t (in cm), is h(t) 2.39t 81.45. Find the height of an Asian man if his tibia is 41.6 cm long. Round to the nearest tenth of a cm. 180.9 cm (or about 511 tall) 70) The height, h (in cm), of a Caucasian male in terms of the length of his tibia, t (in cm), is h(t) 2.42t 81.93. Find the height of a Caucasian man if his tibia is 41.6 cm long. Round to the nearest tenth of a cm. 182.6 cm (or about 6 tall) 71) The height, h (in cm), of an African-American female in terms of the length of her humerus, L (in cm) is h(L) 3.08L 64.67. Find the height of an African-American woman if her humerus is 33.5 cm long. Round to the nearest tenth of a cm. 167.9 cm (or about 56 tall) 72) The height, h (in cm), of a Caucasian female in terms of the length of her humerus, L (in cm) is h(L) 3.36L 57.97. Find the height of a Caucasian woman if her humerus is 33.5 cm long. Round to the nearest tenth of a cm. 170.5 cm (or about 57 tall) 61) f (x) 3x 2. Find x so that f (x) 10. 4 62) f (x) x 7. Find x so that f (x) 2. 9 63) h(x) 3 2 x 5. Find x so that h(x) 1. 4 64) g(x) 3 4 x 6. Find x so that g(x) 12. 8 Objective 6: Solve Problems Using Functions 65) The amount Fiona pays a babysitter, A (in dollars), for babysitting t hours can be described by the function A(t) 9t. a) How much does she owe the babysitter for working 4 hr? $36.00 b) How much does she owe the babysitter for working 6.5 hr? $58.50 c) For how long could Fiona hire the sitter for $76.50? 8.5 hr d) What is the slope of this linear function, and what does it mean in the context of this problem? m 9; Fiona pays the babysitter $9 per hour. 66) The number of miles, N, that Ahmed can drive in his hybrid car on g gallons of gas is given by the function N(g) 46g. a) How far can Ahmed’s car go on 5 gallons of gas? b) How far can he drive on 11 gallons of gas? c) How many gallons of gas would he need to drive 437 miles? 9.5 gallons 230 miles 506 miles d) What is the slope of this linear function, and what does it mean in the context of this problem? m 46; Ahmed’s car gets 46 miles per gallon. 67) A website sells concert tickets and charges a one-time $12.00 service fee. The total cost, C (in dollars), of buying t tickets to a particular concert from this website is given by the function C(t) 59.50t 12.00. a) Find the cost of 2 tickets. $131.00 b) Find the cost of 4 tickets. $250.00 c) If Yoshiko paid $428.50 for tickets from this website, how many did she buy? 7 www.mhhe.com/messersmith SECTION 10.5 Introduction to Functions 651
messersmith_power_introductory_algebra_1e_ch4_7_10
To see the actual publication please follow the link above