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MAT120: Unit 1 DB Assignment

Unit 1 Discussion

For the discussion board assignment in each unit, you will complete the problem associated with the letter that you have been assigned by the instructor. Post the entire example/word problem you have been assigned from the textbook. Then fully explain how you would go about finding the solution. Please explain all steps in a way that a struggling classmate could understand and learn from your methods. Question and or compliment your classmates' work at least twice during the discussion period. See the file attached below for the problem assigned you to this week.

MAT120 - College Algebra Unit 1 DB Assignment A. Section 1.4 Solve and check the linear equation. 3 ( 2) + 7 = 2( + 5) B. Section 1.5 The selling price of a refrigerator is $584. If the markup is 25% of the dealer's cost, what is the dealer's cost of the refrigerator? C. Section 4.1 Solve the linear inequality. Other than , graph the solution set on a number line. 4 ( + 1) + 2 3 + 6 D. Section 4.2 Solve each compound inequality. Use graphs to show the solution set to each of the two given inequalities, as well as a third graph that shows the solution set of the compound inequality. Except for the empty set, express the solution set in interval notation. 3 + 2 > 4 and 2 1 7 P. Section 1.4 Use the graph and models to solve this exercise. The line graph shows the costs of inflation. Here are two mathematical models for the data shown by the graph. In each formula, C represents the cost x years after 1980 of what cost $10,000 in 1967. Model 1 = 1388 + 24,963 Model 1 = 3 2 + 1308 + 25,268 a. Use the graph to estimate the cost in 1990, to the nearest thousand dollars, of what cost $10,000 in 1967. b. Use model 1 to determine the cost in 1990. How well does this describe your estimate from part (a)? c. Use model 2 to determine the cost in 1990. How well does this describe your estimate from part (a) Q. Section 1.5 Solve the formula for the specified variable. = for (statistics) R. Section 4.1 Use the strategy for solving word problems, translating from the verbal conditions of the problem to a linear inequality. You are choosing between two telephone plans. Plan A has a monthly fee of $15 with a charge of $0.08 per minute for all calls. Plan B has a monthly fee of $3 with a charge of $0.12 per minute for all calls. How many calling minutes in a month make plan A the better deal? S. Section 4.2 Solve each compound inequality. Use graphs to show the solution set to each of the two given inequalities, as well as a third graph that shows the solution set of the compound inequality. Express the solution set in interval notation. 2 5 11 or 5 + 1 6 T. Section 4.3 Solve and graph the solution set on a number line. | + 2| + 9 16 U. Section 1.4 What does it mean to solve an equation? V. Section 1.5 In your own words, describe a step-by-step approach for solving algebraic word problems. W. Section 4.1 When graphing the solutions of an inequality, what does a parenthesis signify? What does a bracket signify? When solving an inequality, when is it necessary to change the sense of the inequality? Give an example. X. Section 4.2 A basic cellphone plan costs $20 per month for 60 calling minutes. Additional time costs $0.40 per minute. The formula = 20 + 0.40 ( 60) gives the monthly cost for this plan, C, for calling minutes, where > 60. How many calling minutes are possible for a monthly cost of at least $28 and at most $40? Y. Section 4.3 Solve and graph the solution set on a number line. 2 + 2 | |2 4 Z. Section 1.4 How do you determine if a number is a solution of an equation