How do you use a formula to express a record time (63.2 seconds) as a function since 1950? (t=time in years since 1950 and R = record time in seconds. The record time decreases every year by 0.4 seconds).

A function N=f(x)  gives the number of miles driven in a day. What does f(Monday)=500 mean?

An investment of $3000 is deposited into an account in which interest is compounded monthly. Complete the table by filling in the amounts to which the investment grows at the indicated interest rates. (Round your answers to the nearest cent.) t = 4 yr Rate per year Amount 1% $ 2% 3% 4% 5% 6% %24 %24 %24 %24

Under a microscope, Ms. Kapinski studies a culture with bacteria. As the number of hours progresses, Ms. Kapinski sees that the bacteria can be modeled by the function ?(?) = 1290(0.76) ? where b represents the number of bacteria t hours after Ms. Kapinski begins her study. (a) What does the value 0.76 represent in this situation? Be sure to explain. (b) What does the value 1290 represent in this situation? Be sure to explain. (c) The number of bacteria in a second study is modeled by the function ?2 (?) = 1180(1.76) ? . i. What does the value of 1180 represent in this situation? ii. What does the difference of 1290 and 1180 mean between the two studies? iii. What does the difference between 0.76 and 1.76 mean between the two studies?

After drinking a cup of coffee containing 100 mg of caffeine, caffeine leaves the body at a rate of 17% hourly compounded continuously. Write an equation that represents the amount of caffeine left in the body after t hours. How much caffeine is left in the body 8 hours after drinking this cup of coffee?

The population of a town is given by the equation P = 3000 (20.1t), where t is the time in years from 2000. Find the population in the following years. (a) 2010 (b) 2030 2040

The function A = Age -0.00693x models the amount in pounds of a particular radioactive material stored in a concrete vault, where x is the number of years since the material was put into the vault. If 400 pounds of the material are placed in the vault, how much time will need to pass for only 115 pounds to remain? Round to nearest whole number. O A. 190 years O B. 360 years O C. 185 years O D. 180 years

A radar gun recorded the speed of an arrow as it was shot off of a cliff.  Here is the information…                                                 time                 speed                                                 0 seconds        200                                                 1                      168                                                 2                      136                                                 3                      104   It was recorded that the speed of the arrow when it hit the ground was -210.88 feet per second.  Use all of this information to determine the initial height that the arrow was shot from

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A population of amoebas in a petri dish will triple in size every hour. At the start of an experiment the population is 800. The function , where x is the number of hours, models the population growth. How many amoebas are in the petri dish after 9 hours?