Weather balloons are filled with hydrogen and released at various sites to measure and transmit data abo (a) Find a linear function V that models the volume of hydrogen in the balloon at any time t. V(E) = (b) if the balloon has a capacity of 17 ft), how long does it take to completely fil the balloon? A large koi pond is filled from a garden hose at the rate of 13 gal/min. Initially, the pond contains 450 gal of water. (a) Find a linear function V that models the volume of water in the pond at any time t. (b) If the pond has a capacity of 1724 gal, how long does it take to completely fill the pond? ade and her roommate Jari commute to work each morning, traveling west on I-10. One mo traveled on I-10 at time t (in minutes), where t = 0 is 7:00 A.M. es) each of them has raveled (mi) (6, 16) Jari (6,7) 6 8 1 10 12 Time Since 7:00 A.M. (min) (a) use the graph to decide which of them is traveling faster. (b) Find the speed (In mi/h) at which each of them is driving. Jade (c) Find Inear functions that mode hat Jari and Jade travel as functions of t. d(t) = Jade d(t) = Jacqueline leaves city A at 2:00 p.m. and drives at a constant speed, traveling west on 1-90. She passes city 8, 20 mi from city A, at 2:50 p.m. (a) Find a linear function d that models the distance (in mi) she has traveled after t min. (b) Draw a graph of d. 110 100 70 o 40 60 80 100 120' O 20 40 60 80 100 120 80 100 120 o 40 60 80 100 120 What is the slope of this line? c) At what speed (in mi/h) is Jacqueline traveling? distance x driven. en the monthly cost C of driving a car a (a) Find a linear function C that C(x) = (b) Draw a graph of C. 600 400 300 200 100 200 400 600 800 1000 1200 1406 200 400 600 800 1000 1200 1400 * 8 300 200 100 o 200 400 600 800 1000 1200 1400 o 200 400 600 800 1000 1200 1400 * What is the slope of this line? per mil c) At what rate does Lynn's cost increase for every additional mile she drives? The manager of a furniture factory finds that it costs $2200 to produce 100 chairs in one day and $5200 to produce 300 chairs in one day. Assuming that the relationship between cost and the number of chairs produced is linear, find a linear function C that models the cost of pro c(x) = during x chairs in one day. (b) Draw a graph of C. 10 0001 o o 100 200 300 400 500 600 o 100 200 300 400 500 600 o 100 200 300 400 500 600 * what is the slope of this line? ) At what rate does the facto increase for every additional chal