Each of the following functions gives the amount of a substance present at time t. In each case, give the amount present initially (at t = 0), state whether the function represents exponential growth or decay, and give the percent rate. Enter the exact answers. (a) A = 80(0.92)t (b)A = 5.08(0.976)t (c)A = 4000(1.06)' (d)A = 11(1.15)I \fA 50 mg dose of quinine is given to a patient to prevent malaria. Quinine leaves the body at a rate of 6% per hour. (a) Find a formula for the amount, A (in mg), of quinine in the body if hours after the dose is given. The amount of quinine is A(t) = :] (b) How much quinine is in the body after 28 hours? After 28 hours, [:l mg of quinine remains in the body. (0) Drag the points to graph A as a function of t, and use the graph to estimate when 15 mg of quinine remains. Reading from the graph, it looks like it takes about C] hours until 15 mg of quinine remains. Find a possible formula for the function represented by the data. "m NOTE: The value for the base should be correct to one decimal place. Find a formula in each part below for the number of zebra mussels in a bay as a function of the number of years since 2014, given that there were 2300 at the start of 2014 and 2668 at the start of 2015. NOTE: Enter the exact answers. Let y represent the number of zebra mussels t years since 2014. (a) Assume that the number of zebra mussels is growing linearly. Linear growth: y = Give units for the slope of the line and interpret it in terms of zebra mussels. The slope of the line is Choose one and represents Choose one (b) Assume that the number of zebra mussels is growing exponentially. Exponential growth: y = What is the annual percent growth rate of the zebra mussel population? per yearWorldwide, wind energy generating capacity, W, was 236,733 megawatts at the end of 2011 and 371,374 megawatts at the end of 2014. Generating capacity is the maximum rate at which energy can be produced, measured in this problem in megawatts. ) NOTE: Round coefficients to two decimal places if needed. a) Use the values given to write W, in megawatts, as a linear function of t, the number of years since 2011. Linear function: W = (b) Use the values given to write Was an exponential function of t. Exponential function: W =Whooping cough was thought to have been almost wiped out by vaccinations. It is now known that the vaccination wears off, 1 leading to an increase in the number of cases, 1.0, from 1248 in 1981 to 25,827 in 2004. (a) With t in years since 1980, nd an exponential function that ts this data. NOTE: Round numbers to three decimal places zf necessary. (b) What does your answer to part (a) give as the average annual percent growth rate of the number of cases? NOTE: Round your answer to the nearest percent. The annual percent growth rate is %