Question

Central Waste Management has a fleet of 35 trucks that are able to haul 179 tons of trash per day. When they increase the number of trucks to 47, they can haul 239 tons of trash per day. When the company contracts to pick up trash for the city of Bellmead, the amount of trash is expected to increase to 253 tons per day. Estimate the number of trucks that will be required. (Round your answer up to the nearest whole number.) trucks +-/2.22 points RolfFM8 1.2.123. My Notes Ask Your Teacher ke sime ration In 2002, a French woman died attempting to break the world record in free diving. In free diving, a diver, without oxygen, uses a 200-pound weight attached to a cable to pull them into the ocean depths. The woman's goal was a depth of 561 feet, which would have set a new record. As a diver descends, the pressure increases due to the weight of the water above. At 18 feet, the water pressure is approximately 8 pounds per square inch and increases to approximately 40 pounds per square inch at 90 feet. Use a linear function to approximate the water pressure at 561 feet depth. (Round your answer to the nearest whole number.)

Answer 1

Solution Given No. of trucks Ton's of trash perday Hauked by trucks. 179 - 239 Tones To 2 Estimate No. of truck's required for 253 per day. x= Noo of Trucks y = Ton's of trash hauled per day. Let We have, (x,y) = (35, 179) (MAG) = (47,239) passing through the We will find equation of line two points (35,179) & (97, 239) (y-y,. (92-9) (x-n,) - (122-2 ) y-179 x-35 239-179 47-35 Y-179 2-35 -2 = 60 -5 T2 = 5x – 175. 4-179= 5(x-35) y = 5%-175 + 179 M= 5nty = 5x+4

y = 5x+4 Now, we have to find value of x rake af y = 253 for ginen 253 = 5x+4 » 52= 253-4 = 249 → 56 = 249 a n = 249 = 49.8 x = 50 tricky Heney Total 150 Trucks to 253 Tonnes perday. ŵ 50 g a is required to increased V

40w 1- Similar to Earlier problems - Lef x = Depth in y = water feet presume at ginen depth. gium, (y) Depth in feet (2) Water prenue Pound per sa inch - - 8 o 40 18 feet go feet 561 feet - 1249 Ponnel per sq ince alla (X,9, ) ? (18,8) (, 42) - (90,40) Equation of live is given by gog (Y2-y,, nang (%-n, 4-8 = 40 - 8 = 22 - 2 x-18 go-18 . 0.44448 - 8 (4-8) = (x-18) 32 = y = 0.4444 2-878 Y-0.4444 Now for x=561 feet , y=0.4444x561 = 249.30 2 243 Розм