An experiment involves dropping a ball and recording the distance it falls (y) for different times (x) after it was released. Construct a scatterplot and identify the mathematical model that best fits the given data. Assume that the model is to be used only for the scope of the given data, and consider only linear, quadratic, logarithmic, exponential, and power models. Time (seconds) Distance (meters) 0.5 1 1.2 4.8 1.5 10.7 2 18.5 2.5 3 28 38.9 Choose the correct scatterplot below. OA. B. Q 50- 50- 40- ° 40-0 a 30- 20- 20- 10- 0- 2 G 10- 0- 0 1 2 C. O D. Q 50- 40- 30- 20- 10- о 0 1 2 3 Q 50- 40- Q 30- 20- ° G 10- ° ° 0- 0 1 2 What is the equation of the best model? Select the correct choice below and fill in the answer boxes to complete your choice. Enter only nonzero values. (Type integers or decimals rounded to three decimal places as needed.) OA. y= OB. y= + Inx OC. y= OD. y= OE. y= x + x+ о

Q: Apply models of situations related to business administration using linear, polynomial, exponential…

A: An exponential function is of the form y=abx, where a and b are constants and x and y are variables,…

Q: The data in the table below shows the intensity and loudness level of various sounds. Next question…

A:

Q: The table lists the number of species of birds on islands of various sizes. Find values for a and b…

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

Q: Endangered Species The following table gives thenumbers of species that were endangered in…

A: Given,

Q: An exponential model y = a · b" passes through the points (0, 3) and (3, 81). What are the values of…

A: Given- An exponential model  y=a·bx  passes through the points 0,3 and 3,81. To Find- The values of…

Q: Use logarithms to transform the non-linear model y= 6(3)2 into a linear model. Express your final…

A: Given

Q: expect y = f(x) to take? Select all that apply. Oy=mx+b Oy=Ce Oy = Ax²

A:

Q: The table below shows the wind speed along with the corresponding wind chill factor. Using a…

A:

Q: a)Determine the price of the home after 12 years. b)What type of function does the data represent?…

A:

Q: III. EVALUATION of LOGARITHMIC FUNCTIONS. Solve and evaluate the following Logarithmic Functions. 1.…

A:

Q: Wyatt's class is having a pizza party. Each group of 3 students eats pizzas. • There are 18 students…

A:

Q: Write an equation for the transformed logarithm shown below, that passes through (3,0) and (-1,3) -5…

A: We need to find the equation for a transformed logarithm shown below, that passes through (3,0) and…

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: Plot the common and natural logarithm curves on a single figure.

A:

Q: Rewrite the equation using logarithms instead of exponents. eTextbook and Media Save for Later = log…

A:

Q: 1 a) log 16 X = -4 c) log, 2x+log, 5=-1 b) log, 2 = x d) x = log, 625

A:

Q: An experiment involves dropping a ball and recording the distance it falls (y) for different times…

A: It is given that an experiment involves dropping a ball and recording the distance it falls (y) for…

Q: An experiment involves dropping a ball and recording the distance it falls (y) for different times…

A: Here we are given a data and 4 scatter plots.  From which we have to choose the one that best fits…

Q: Which logarithmic graph can be used to approximate the value of y in the equation 2y = 3?

A: We have to solve given Questions.

Q: (c) Generate the plot of the table in part 4. in your spreadsheet by displaying log, (E) against M.…

A: Introduction: The given equation, log10 (E) = 4.8 + 1.5 M, gives a very good approximation of the…

Q: question b

A:

Q: Find the logarithm. log, (3) -

A: properties opf log is  logxx=1                              logxn=nlogx