Exponential functions can be used to model the growth of bacteria. N = No ert where For a particular bacterium the growth constant is 0.6 hr¹¹. The number of bacteria at the beginning of an ment is 20. Plot a suitable graph to find the time taken for the number of bacteria to reach 1000. Use the axes provided and label the graph fully. 1000 900 800 700 600 500 400 300 200 100 N = number of bacteria at time t No = number of bacteria at the start (t = 0) t = time (in hours) r = growth constant (per hour) 0 0 1 2 3 4 5 6 7 8 9 10

Q: The table below is a record of the number of miles driven between stops for gas and the amount of…

A: Miles Driven, x Cost to Fill up ($), y 313 24.80 320 24.96 341 25.83 320 25.17 294 22.44…

Q: Create an approximate exponential model for the data set. 1. 1 2 -2 4. f(x) 1.2 1.6 2.0 2.6 3.4 f(x)…

A: To find f(x) using 1 as reference.

Q: find the exponential function y = Cax that fits the graph

A: Points (1,2) ,(2,1)

Q: Earthquake area in the Central states Refer to Exercise 64. For the Rocky Mountain and Central…

A: Given that, R=2.3logA+14000-6.6  Need to evaluate A when R=4.

Q: = (5+ cx*)** y=(5+6x*) (tan(7x)° 312 hint log.differentiat use %3D

A: logab=bloga ddxtan2ax=a sec2 ax

Q: he graph of an exponential is given. Match the graph to one of the following functions. -2 2x Oy =…

A: The graph of y=-3x+1 is shown below:

Q: Salicylate is active in aspirin. The following table shows the amount of salicylate in the…

A: Time (min) Salicylate (mg) 0 200 20 177 40 157 60 144 80 123 100 114 120 99

Q: Describe the impact of a, b, h, and k on the graph of y =a log, (x- h)+k.

A: a scales the graph . The higher the value of a is the more wide spread the graph along y axis is.…

Q: Find the asymptote of the given exponential function y = 32 + 43x+2 32 4 3. 2

A:

Q: A prairie dog left its burrow 5 feet underground and started digging deeper into the ground. It digs…

A: Given: A prairie dog left its burrow 5 ft underground.  Rate of constant digging=2 feet per minute

Q: First, create a scatter plot for the data in the table. Then, use the shape of the scatter plot…

A: We know that the graph of the exponential function f(x)=e-x  is:

Q: Column B Column A a. 1 1. log3(1/9) b. -2 2. log5 C. 3. logs25 d. 2 log1o(1/1000) 4. -3 e. 5. log41

A:

Q: With a and k set to 1, vary the b slider. Do exponential functions of the form y = b* have an…

A: Consider the exponential function y=bx. To determine whether the given exponential function has x…

Q: Which one of the following exponential function shows the graph ? 14

A: On the graph the points are (0,2) and (1,3). If we plug x=1 in the first equation we get: y=31+1=4,…

Q: Sketch the graph of f, and use the change of base formula to approximate the y-intercept.

A: Given: log4x+log8x=1 Sketch the function.

Q: The growth of bacteria in a culture can be modeled by the function A = Age, where A is the amount of…

A:

Q: The graph shown represents population growth. Time (years) A. exponential (J-curve) B. negative D.…

A: Exponential growth occurs when the resources are sufficiently enough and logistic growth occurs when…

Q: In a year tracking a population of widowbirds, you recorded that 150 individuals were born, 75 birds…

A:

Q: Solve the equation for : 62 3

A: