12:15ull LTE 4ALLYSON FAJ...MRN11 CC HW # 7: Wake Up!Name:Part AGetting going in the morning wasprobably hard for folks on the OverlandTrail (just as it may be for you today), socoffee was a highly valued commodity.The Cazneau family starts their journeywith a supply of 30 pounds of coffee.When they arrive at Sutter's Fort inCalifornia, 188 days later, they have only3 pounds left.1. Draw a graph showing the amount of coffee remaining as a function of the time elapsed since the startof the journey. For simplicity, assume the Cazneaus consume coffee at a constant rate.2. Find the average amount of coffee consumed per day.3. Develop an equation for the function represented by your graph.4. Find the slope of your graph.5. Suppose that at the beginning of their 188-day journey, the Cazneaus are 1600 miles from Sutter'sFot.a. How many miles per day do they travel? For simplicity, assume they travel the same distanceeach day.b. Of course, as the Cazneaus travel, their distance from Sutter's Fort decreases. Write a formulaexpressing the distance remaining as a function of the number of days they have been traveling.c. Make a graph of your function from part b.d. Find the slope of your graph.Part B. Regents Prep.1. Agardener is planting two types of trees:Type A is three feet tall and grows at a rate of 15 inches per year.Type B is four feet tall and grows at a rate of 10 inches per year.Algebraically determine exactly how many years it will take for these trees to be the same height.2. Graph fx) =x² and g(x) = 2" for x20 on the setof axes below.State which function, fx) or g(x), has a greatervalue when x-20. Justify your reasoning.

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MRN11 CC HW # 7: Wake Up! Name: Part A Getting going in the morning was probably hard for folks on the Overland Trail (just as it may be for you today), so coffee was a highly valued commodity. The Cazneau family starts their journey with a supply of 30 pounds of coffee. When they arrive at Sutter's Fort in California, 188 days later, they have only 3 pounds left. 1. Draw a graph showing the amount of coffee remaining as a function of the time elapsed since the start of the journey. For simplicity, assume the Cazneaus consume coffee at a constant rate. 2. Find the average amount of coffee consumed per day. 3. Develop an equation for the function represented by your graph. 4. Find the slope of your graph. 5. Suppose that at the beginning of their 188-day journey, the Cazneaus are 1600 miles from Sutter's Fort. a. How many miles per day do they travel? For simplicity, assume they travel the same distance each day. b. Of course, as the Cazneaus travel, their distance from Sutter's Fort decreases. Write a formula expressing the distance remaining as a function of the number of days they have been traveling. c. Make a graph of your function from part b. d. Find the slope of your graph. Part B. Regents Prep. 1. Agardener is planting two types of trees: Type A is three feet tall and grows at a rate of 15 inches per year. Type B is four feet tall and grows at a rate of 10 inches per year. Algebraically determine exactly how many years it will take for these trees to be the same height. 2. Graph fx) -x and g(x) - 2" for x20 on the set of axes below State which function, fx) or g(x), has a greater value when x-20. Justify your reasoning.

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter5: Inverse, Exponential, And Logarithmic Functions

Section5.6: Exponential And Logarithmic Equations

Problem 64E