Using the information given, write an exponential function of the form y = a · b* --If necessary, round the value of b to three decimal places. 8. Points on the curve: (0, 180) and (5, 21).

Q: A nest of ants has been growing exponentially in such a way that its population, P, as a function of…

A: Given that: A nest of ant is represented by the exponential growth function: P(w)=24000×1.063w Where…

Q: A car was purchased for $27,000. Each year since, the resale value has decreased by 27%. Let t be…

A:

Q: Find an approximate equation y =ab" of the exponential curve that contains the given pair of points.…

A:

Q: 10. Determine whether the function is an example of exponential growth or exponential decay. Then…

A:

Q: Find a possible formula for the exponential function in the graph. (5, 4) (0,1) NOTE: Round any…

A: An exponential function passes through the points 0,1 and 5,4

Q: 3) Find the formula for an exponential function y = ab* that passes thru the two points. Round 6 to…

A: Given,  An exponential function  y = abx  It passes through the points  a  0, 6, 3, 750 b 1, 6, 5, 1…

Q: The value of a home y  (in thousands of dollars) can be approximated by the model  y= 192 (0.96)^t ,…

A:

Q: In 2012 your car was worth 10,000. In 2014 your car was worth 8,900. Define an exponential…

A:

Q: The population of Toledo, Ohio, in the year 2000 was approximately 520,000. Assume the population is…

A:

Q: A sample of a radioactive substance has an initial mass of 795.3 mg. This substance follows a…

A: Given:

Q: 2. When buying a new car, one consideration is how fast the car loses value, known as the…

A:

Q: An exponential function f(x) passes through the points (0, 8000) and (2, 3920). What are the values…

A:

Q: The mass of a substance, which follows a continuous exponential growth model, is being studied in a…

A:

Q: "Create an exponential function with the following properties: it has a horizontal asymptote at y=3…

A: Here we have to create an exponential function.  The solution is following.

Q: Find the exponential model y= ae that fits the points shown in the graph. (Round your value for b to…

A: Note: Since you have posted multiple questions we will solve the first question for you. If you want…

Q: In 2003 at the outbreak of the SARS epidemic on April 1 there were 1084 cases. On April 15 there…

A: At April 1, x=0       f(x)=Abxf(x=0)=Ab0    1084=A At April 15, x=14       f(x)=Abxf(x=14)=1084b14…

Q: Find a possible formula for the exponential function through the points (-2, 150) and (1,6/5)…

A:

Q: Identify exponential functions. f(r) = 8e* fiz)=52} f(r) = 4x3–6x fir) = I+3x f(z) = e-35 ft#) = 203…

A: Here we have to identify the exponential function from the given function.

Q: The population (in millions) of  Canada in 2015 is 35.1 and the expected continuous annual rate of…

A:

Q: Create a linear or exponential function based on the given conditions. (a) a function with an…

A: We will fit a linear function based on the given conditions. Let the linear fit be : y = mx + c,…

Q: At the beginning of a population study, a city had 240,000 people. Each year since, the population…

A:

Q: The population of Toledo, Ohio, in the year 2000 was approximately 480,000. Assume the population is…

A: This question can be solved using the concept of general form of exponential growth function.

Q: The population of Canada in 2015 was 35.1 million and the expected continuous annual rate of change…

A: Given  The Canada population in 2015 is 35.1 The population rate of change is k = 0.008. Exponential…

Q: at the beginning of an environmental study, a forest covered an area of 1500 km“. Since then, this…

A: Given query is to find the relation between y and t.

Q: The rate of auto thefts doubles every 9 months. (a) Determine, to two decimal places, the base b for…

A:

Q: A sample of 650 milligrams of a radioactive substance was used to start a study. Since then, the…

A:

Q: A car was purchased for $26,000. Each year since, the resale value has decreased by 21%. Let t be…

A:

Q: "Create an exponential function with the following properties: it has a horizontal asymptote at y=3…

A: Given query is to find the exponential function.

Q: At the beginning of a population study, a city had 280,000 people. Each year since, the population…

A:

Q: The population of Toledo, Ohio, in the year 2000 was approximately 490,000. Assume the population is…

A: Given:- The population of Toledo, Ohio, in the year 2000 was approximately 490,000. Assume the…

Q: 2. Another pond has an algae bloom that is also decreasing exponentially. The area of this bloom in…

A: Solution:- The area of the bloom in square meters is given by the function  B(d)=100(2)-d7…

Q: In 2013, the moose population in a park was measured to be 5,600. By 2017, the population was…

A:

Q: The table below shows value of a car purchased in 2002. Years since 4 2002 16,000 5,754 Without…

A:

Q: Find exponential function y=Ce^kt that passes through the two given points. (0,4/5) , (7,4) How do…

A:

Q: Find an approximate equation y =ab^ of the exponential curve that contains the given pair of points.…

A:

Q: use a graphing calculator to find the equation of an exponential function given the points on the…

A:

Q: Find an approximate equation y = ab^ of the exponential curve that contains the given pair of…

A: Solution : We need to find out an approximate equation y = abx of the exponential curve that…

Q: At the beginning of a population study, a city had 230,000 people. Each year since, the population…

A: Exponential function

Q: The value of a home y  (in thousands of dollars) can be approximated by the model y=251 (1.09)^t,…

A: The value of a home y  (in thousands of dollars) can be approximated by the model  y=2511.09t Where…

Q: he exponential function f(x) = A · Bª crosses the y-axis at the point (0, 1700) and has a dec ate of…

A: Given query is to find the value of A and B.

Q: An exponential function f(x)=ab^x passes through the points (0, 2) and (3, 128). What are the values…

A: Given: An exponential function f(x)=ab^x passes through the points (0, 2) and (3, 128).

Q: An exponential function f(x)=a⋅bx passes through the points (0, 5000) and (3, 135). What are the…

A: Consider the given information.

Q: The mass of a substance, which follows a continuous exponential growth model, is being studied in a…

A: let the exponential function be of the form y=Aekt where A is  value of substance at starting time…

Q: An exponential function f(T) = ab" passes through the points (0, 2) and (2, 18). What are the values…

A:

Q: Find the exponential function  y = Cekt  that passes through the two given points. (Round the value…

A:

Q: The radioactive substance ceslum-137 has a half-life of 30 years. The amount A (t) (in grams) of a…

A: Initial Amount = Amount at (t=0) =  38112030 = 381

Q: A sample of bacteria taken from a river has an initial concentration of 2.1 million b. (a) Find an…

A: Here we have,  The initial concentration of the bacteria = 2.1 million bacteria per milliliter.  and…

Q: 3 Find the exponential function y = ab² whose graph passes through the points 3, and 64 (2, 48). y =…

A:

Q: The number of users on a website is 3200 and is growing exponentially at a rate of 70% per year.…

A: This is a problem related to exponential function. Based on the general formula we will answer the…