The number of individuals in a population of animals increases rapidly over 70 days as summarised in the two graphs below. The graphs show the same information. 1000 1000 900 800 700 100 600 2 500 Z of 400 10 300 200 100 0 10 20 30 40 50 60 70 0 10 20 30 40 50 60 70 days days If you have trouble viewing the graphs above, scroll to the right or right-click on the image and "open image in a new tab". Basics (a) Describe the scales of both given graphs? (b) What type of growth would this suggest the animal's population exhibit? Justify your answer. Modeling We will now model the growth in the period of 70 days assuming there is a linear relationship on the right-hand side graph in that period, i.e. we will find a formula that describes the population growth. A calculator or similar will be helpful. (c) First gather the data. Copy the following table to your paper submission and complete it in the following parts. d(days) N(number of induviduals) log 10 N (i) Choose three numbers on the horizontal axis, one from the left (1 to 30) one from the middle (31 to 50), and one from the right (51 to 70). Write these in the d (days) column. (ii) Estimate the corresponding three values for /V from whichever graph gives you the most accurate answers. Write down your three data points in the NV column. (iii) Write down the base 10 logarithms of the answers you wrote in (ii). If needed round the values to 2 decimal places. For example, if your data point had the value of 11 then you would write 1.04.(d) Which graph should you use to get the data points in (c) most accurately? Explain your answer. (e) Use the data from your table in (c) and the method taught in week 5 (LLSR) to build a model of the exponential growth of the animal population. Begin by explaining which columns from the table (c) you will use and why. You must show all working. If you use variable names /V for "Number of individuals in the population', and d for "days" your final answer should be in the form: N = f(d), where it is your job to work out what the function f is. If needed, round your answers in the calculations to the second decimal point. Note: it is allowed to use software packages to help you with the calculations and checking your answers. However, you must show the working for each step for how the problem is solved by hand. No marks will be awarded for only the correct