Example 4 (Calculator Active): For 0 ≤s ≤ 5000, the total amount a local college spends on printing (2000) is related to the number of students enrolled at the school and is modeled by C(s) = 70-32 cos where s is the number of students enrolled at the college and C is the total cost of printing, in thousands of dollars. At what rate is the total cost of printing changing, in dollars per student, when 2500 students are enrolled at the college?

According to the U.S. Census Bureau, in 2011, the median (middle of the range) annual income of a high school graduate with no further education was about $35,400 per year. If we assume that it takes 4 years to earn a bachelor's degree and 2 additional years to earn a master's degree, the median annual income increases by 12% for each year spent toward successful completion of a degree. This describes a function  I = I(y),  where I is the median income in 2011 for a person with y years of college education. (a) Express in functional notation the median income in 2011 of an individual with a bachelor's degree, which requires 4 years of college. Calculate the value. (Round your answer to the nearest cent.) I         = $  (b) Make a table of values that shows the median income in 2011 for individuals completing 0 through 4 years of college. (Round your answers to the nearest cent.) Years of college Median income (in 2011) 0 $  1 $  2 $  3 $  4 $  (c) Make a…

In this example we considered the function W = f(T, v), where W is the wind-chill index, T is the actual temperature, and v is the wind speed. A numerical representation is given in this table. (a) What is the value of f(-20, 40)? What is its meaning? f(-20, 40) = , which means that if the temperature is -20°C and the wind speed is 40 km/h, then the air would feel equivalent to approximately °C without wind. (b) Describe in words the meaning of the question "For what value of v is f(-10, v) = -15?" The question is asking: when the temperature is °C? Answer the question. V = km/h Answer the question. T = (c) Describe in words the meaning of the question "For what value of T is f(T, 10) = -39?" The question is asking: when the wind speed is °C? °C °C, what wind speed gives a wind-chill index of E km/h, what temperature gives a wind-chill index of d 9:16 PM 9/26/2022

Sarah pays a flat rate plus a rate per minute for her phone plan as shown in the graph above. The cost of Sarah's phone plan, C(t), can be represented by which of the following functions? A: C(t) = -0.10t+25 B: C(t) = 0.10t+25 C: C(t) = 25(0.10)^t D: C(t) = 25(1+0.10)^t