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- Determine whether Table 1 could represent a function that is linear, exponential, or neither. If it appears to beexponential find a function that passes through the points.What are the linear and exponential functions whose graphs contain the points (0,4) and (3,108)?Find a formula for the exponential function passing through the points (-3, 5/8) and (2, 20).y =
- a certain strain of bacteria is placed in a petri dish as a part of an experiment. The number of bacteria present in the petri dish, b(t), grows exponentially as a function of t, where t is measured in minutes since the start of the experiment. However, the lab assistant carelessly forgot to measure the number of bacteria at the start of the experiment. If there are 600 bacteria present after 1 minute and 900 bacteria present after 3 minutes, model the number of bacteria b(t) as an exponential function of tWhat exponential function will pass through both (0,6) and (1,3)?The number of women graduating from 4-yr colleges in a particular country grew from1930,when48,767women earned a bachelor's degree, to2003,when approximately810,000women received such a degree. Find an exponential function that fits the data, and the exponential growth rate. Find an exponential function that fits the data. Choose the correct answer below
- One article states that each one-second delay in loading search results has the effect of multiplying the probability that an online customer will make a purchase by 0.90.† Let P denote the probability, as a percentage, that an Amazon customer will make a purchase if the search results require t seconds to load. Suppose that at the time a customer initiates a search for flatware, the probability that she will make a purchase is 50%. Make an exponential model that shows the percentage probability P as a function of t. P(t) =A colony of bacteria is grown under ideal conditions in a laboratory so that the population increases exponentially with time. After 9 minutes there are 1,000 bacteria and after 15 minutes there are 3,000. How many are there after 33 minutes? Do NOT approximate any values.Find the exponential function that passes through the points (-2,6) and (3,1).
- The number of women graduating from 4-yr colleges in a particular country grew from 1930, when 48,745 women earned a bachelor's degree, to 2004, when approximately 870,000 women received such a degree. Find an exponential function that fits the data, and the exponential growth rate.Consider a population of a certain country that is observed to grow exponentially. Based from the available record, there were 8000 people at the start. After 10 years, it increased to 14,000. If the increased in number is constant, what is the estimated number of people in the country after 100 years?A slow economy caused a company’s annual revenues to drop from P500, 000 in 2007 to $380,000 in 2010. If the revenue is following an exponential pattern of decline, what is the expected revenue in 2015?