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Warm Up. Combine: If . is the year is # of people waiting. Number of People Waiting for Liver Transplants: pg. 457. How many people are waiting for a liver transplant this year, according to the formula? What is the increase for next year?
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Warm Up • Combine: • If
is the year is # of people waiting Number of People Waiting for Liver Transplants: pg. 457 How many people are waiting for a liver transplant this year, according to the formula? What is the increase for next year? (3) When will the number of people reach 40,000?
Continuous Growth • Population Growth of India: pg. 457 #79 • 1,220,200,000 (1.22 billion) in 2012
Newton’s Law of Cooling (or warming!) • Final temperature of an object • Depends on the initial temperature of the object • The difference between the temperature of the area and the object • A base rate of cooling (which must be found using data) • And the time the object has been cooling (or warming)
Complete the JoCo Coroner’s report: • 8:30 am Arrived on the scene • 9:00 am Victim body temperature is 85.7 F • Air temperature was constant 70F, Assume body temperature was 98.6o at time of death. • 9:30 am Victim body temperature is 82.8 F • TIME OF DEATH:
How long to Save a Million Dollars? • How much will we put into savings each period? • What annual interest rate will we earn? • So what is our interest each month?
What Monthly Payment for School Loan? • How much did we borrow? • What annual interest rate will we pay? • We are given 10 years to pay off the loan.
What If We Double the Monthly Payment? • How long will it take to pay off the loan now?
People Telecommuting in the USA by Year. • x is the year after 1990. • y is the number of people telecommuting in millions. • Graph the data, and decide whether this is a logarithmic or exponential function. • Write your regression function down: • According to this function, how many people will be telecommuting this year? • In what year will the number of people telecommuting reach 15 million, according to this data? Is this interpolation or extrapolation?
Newton’s Coffee Room temp: 67o
Newton’s Coffee pg. 451 Room temp: T0 = 67o My MISTAKE! I needed to read more carefully.
Newton’s Coffee pg. 451 Room temp: T0 = 67o • D = 182 – 67 = 115o • Use: T(t) =T0 + Dat • Solve for a: (choose any data point) • 179 = 67 + 115a2 • a = 0.98687
Newton’s Coffee pg. 451 • T(t) =67 + 115(0.987)t • When will the coffee reach 105o ?