The population of deer in a park was counted in the year 2000 to be 1950. In the year 2010, the population of deer was 6120. a) Assuming the population changes linearly, write a formula for the population of deer in the park, P, as a function of time t, years since year 2000. b) Use your model from part (a) to predict the population in year 2030.

Find the slope ofthe line in Figure l.

Write an equation for line in Figure 2.

Can the average rate of change of a function be constant?

Suppose the U.S. Census Bureau projects the population of Colorado to be 4.3 million in 2000 and 6.1 million in 2020. Assuming the population growth is linear, Use t years since 1999 and p the population of Colorado in millions. According to your linear model, what is the population of Colorado in 2033? {final answer will be decimal number with two decimal places only}

the operating expesnes of amazon increased from 3.6 billion in 2008 to 16.3 billion in 2012. use the information to find a linear model for amazons operating expesne E as a function of time t in years since 2010

A 30-second commercial during Super Bowl XXXVII in 2003 cost advertisers 2.2 million. For the first Super Bowl in 1967, an advertiser could have purchased approximately 26.19 minutes of advertising time for the same amount of money. (a) Assuming that advertising cost is proportional to its length of time, find the cost of advertising, in dollars/second, during the 2003 Super Bowl. cost= dollars/second. (round to nearest cent and do not enter commas) (b) Assuming that advertising cost is proportional to its length of time, find the cost of advertising, in dollars/second, during the 1967 Super Bowl. cost = dollars/second. (round to nearest cent and do not enter commas) (c) How many times more expensive was Super Bowl advertising in 2003 than in 1967? times more expensive (round to nearest whole number)

An engineer creates a model to predict the electric consumption of a household in summer in a day with a predictor variable of the number of hours the air-conditioner is running. The electric consumption is only at 23 kWh per day if aircon is not used. If the aircon was used by 1 hr, the electric consumption would increase by an additional 1.55 kWh. Find the average electric consumption if the aircon is used 17 hrs.

Data were collected from librarians about their reading habits and job experience. The results were used to calculate the model ŷ = 3.84x + 9.85, where x represents the number of years working as a librarian and ŷ represents the predicted number of books read per year. Interpret the slope of the model in the context of the problem.  Approximately 10 librarians read between 3 and 4 books each.  Approximately 4 librarians read 10 books each. For every additional year working, librarians are predicted to read between 3 and 4 more books per year.  For every additional year working, librarians are predicted to read more than 9 more books per year.

In 1990, the population of Bend, Oregon was 722. In 2000, the population had grown to 977.  Using the data above, give an equation that models the population "P" of sisters as a function of time "t."