University:
University of Michigan
Course:
MATH 115 | Calculus I
Academic year:

2024
Views:

83

Pages:

2
Author:

Luciano Kirby

Question 1 How many points do you need on the final to average 75? Answer Your grades in the three tests in College Algebra are 87, 59 and 73. Calculation: Let x = the final test grade Average of four grades = 75 Therefore, (87 + 59 + 73 + x) / 4 = 75 219 + x = 75 * 4 219 + x = 300 x = 300 - 219 x = 81 Hence, the final test grade is 81. Question 2 For the following exercises, enter the data from each table into a graphing calculator and graph the resulting scatter plots. Determine whether the data from the table could represent a function that is linear, exponential, or logarithmic. x | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 f(x) | 9.429 | 9.972 | 10.415| 10.79 | 11.115 | 11.401 | 11.657 | 11.889 | 12.101 | 12.295 Answer We take the following actions to determine which model a set of points represents: Plot the points on the graph. Determine whether it is one of these: - if the points do not lie on a straight line, then it is not a linear model. if after drawing a straight line between two points most of the points in between lie above the line, then it is a logarithmic model. if after drawing a straight line between two points most of the points in between lie below the line, then it is a exponential model. Question 3 For the following exercises, enter the data from each table into a graphing calculator and graph the resulting scatter plots. Determine whether the data from the table could represent a function that is linear, exponential, or logarithmic. x | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 f(x)| 2.4 | 2.88| 3.456| 4.147| 4.977| 5.972| 7.166| 8.6 | 10.32| 12.383 Answer In determining what model is represented by a set of points, we follow these steps: 1. Plot the points on the graph. 2. Determine whether it is one of these: - if the points do not lie on a straight line, then it is not a linear model. - if after drawing a straight line between two points most of the points in between lie above the line, then it is a logarithmic model. - if after drawing a straight line between two points most of the points in between lie below the line, then it is a exponential model. Question 4 For the following exercises, enter the data from each table into a graphing calculator and graph the resulting scatter plots. Determine whether the data from the table could represent a function that is linear, exponential, or logarithmic. x |1 | 2 |3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 f(x)| 2 | 4.079| 5.296| 6.159| 6.828| 7.375| 7.838| 8.238| 8.592| 8.908 Answer In determining what model is represented by a set of points, we follow these steps: Plot the points on the graph. Determine whether it is one of these: - if the points do not lie on a straight line, then it is not a linear model. if after drawing a straight line between two points most of the points in between lie above the line, then it is a logarithmic model. if after drawing a straight line between two points most of the points in between lie below the line, then it is a exponential model.