Question 1 20 pts A cup of coffee contains 100 mg of caffeine, which leaves the body at a continuous rate of 17% per hour. Write a model for the amount, A mg, of caffeine in the body t hours after drinking a cup of coffee using the continuous growth formula: A = pe-rtQuestion 2 20 pts Graph the function your created in Question 1. . Use the Desmos Graphing Calculator [ to create your graph. . Take a snip of your graph and upload it in the answer box for Question 2.Question 3 2!) pts Use the graph to estimate how long it would take for your body to only have 50mg of caffeine remaining in your system. - After locating this point, draw or mark the point on your graph from #2. You can drag over the point and take a screenshot or use tools to draw by hand or use a Desmos table to show that point. [I explained in class how to use a Desmos ta ole} - Upload the screenshot or image of your point on the graph in the box below. - Also, type your estimated point in the answer box. Question 4 20 pts Use logarithms to algebraically find how long it would take your body to only have 50mg of caffeine remaining in your system. Show ALL of your work. You can do this by hand and upload a screenshot or image if you do not want to type out your work.Question 5 20 pts Write a reflection sentence or sentences that compares the point that you located on your graph in question 3 and the solution that you found algebraically in question 4. Include any similarities and/or differences you noticed. Were they the same? Should they have been the same? Why or why not