3?A car company has found that there is a linear relationship between the amount of money it spends on advertising and the number of cars it sells. When it spent 55,000 dollars on advertising, it sold 442.5 cars. Moveover, for additional 10 thousand dollars spent, they sell 35 more cars. Find a formula for the number of cars sold, c, as function of amount spent on advertising, a.
9?In September 1994 the United Nations hosted the conference on the population and development in cairo, Egypt. According to the sciences magazine, the world population of 2.5 million people in 1950 had grown to 5.5 billion by 1990 census. Using this data, find an exponential function modeling the world population,
P= f(t)=ab^t, where t is years since 1950.
10?Find the vertical intercept of the graph of y=2+ln(1-x). Round to 2 decimal places if necessary.
23?The caribou population in Denali National Park dropped from high of 200,000 in 1943 to low of 76,000 in 1989, and has risen some then. Scientists hypothesize that population follows a sinusoidal cycle affected by predation and other environmental conditions, and that the caribou population will again reach its previous high.
a. Letting t=0 in 1943, give a possible sinusoidal formula to describe the caribou population as a function of time.
b. When does your model predict that caribou population will next reach 200,000 again?
9?In September 1994 the United Nations hosted the conference on the population and development in cairo, Egypt. According to the sciences magazine, the world population of 2.5 million people in 1950 had grown to 5.5 billion by 1990 census. Using this data, find an exponential function modeling the world population,
P= f(t)=ab^t, where t is years since 1950.
10?Find the vertical intercept of the graph of y=2+ln(1-x). Round to 2 decimal places if necessary.
23?The caribou population in Denali National Park dropped from high of 200,000 in 1943 to low of 76,000 in 1989, and has risen some then. Scientists hypothesize that population follows a sinusoidal cycle affected by predation and other environmental conditions, and that the caribou population will again reach its previous high.
a. Letting t=0 in 1943, give a possible sinusoidal formula to describe the caribou population as a function of time.
b. When does your model predict that caribou population will next reach 200,000 again?