Essay About Following Plans And Pic

Equations and Inequalities
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Chapter 2Equations and Inequalities2.3 Models and ApplicationsMark and Don are planning to sell each of their marble collections at a garage sale. If Don has 1 more than 3 times the number of marbles Mark has, how many does each boy have to sell if the total number of marbles is 113?[pic 1]Mark: [pic 2], Don: [pic 3]Beth and Ann are joking that their combined ages equal Sam’s age. If Beth is twice Ann’s age and Sam is 69 yr old, what are Beth and Ann’s ages?[pic 4]Ann: [pic 5] Beth: [pic 6]Ben originally filled out 8 more applications than Henry. Then each boy filled out 3 additional applications, bringing the total to 28. How many applications did each boy originally fill out? [pic 7]7 and 15For the following exercises, use this scenario: Two different telephone carriers offer the following plans that a person is considering. Company A has a monthly fee of $20 and charges of $0.05/min for calls. Company B has a monthly fee of $5 and charges $0.10/min for calls. Find the model of the total cost of Company A’s plan, using [pic 8] for the minutes. [pic 9] Find the model of the total cost of Company B’s plan, using [pic 10] for the minutes. [pic 11] Find out how many minutes of calling would make the two plans equal. [pic 12][pic 13]300 minIf the person makes a monthly average of 200 min of calls, which plan should for the person choose?[pic 14]Company BFor the following exercises, use this scenario: A wireless carrier offers the following plans that a person is considering. The Family Plan: $90 monthly fee, unlimited talk and text on up to 5 lines, and data charges of $40 for each device for up to 2 GB of data per device. The Mobile Share Plan: $120 monthly fee for up to 10 devices, unlimited talk and text for all the lines, and data charges of $35 for each device up to a shared total of 10 GB of data. Use [pic 15] for the number of devices that need data plans as part of their cost.Find the model of the total cost of the Family Plan. [pic 16] Find the model of the total cost of the Mobile Share Plan. [pic 17] Assuming they stay under their data limit, find the number of devices that would make the two plans equal in cost. [pic 18][pic 19]6 devicesIf a family has 3 smart phones, which plan should they choose?[pic 20]The Family PlanTwo planes fly in opposite directions. One travels 450 mi/h and the other 550 mi/h. How long will it take before they are 4,000 mi apart? [pic 21]4 hBen starts walking along a path at 4 mi/h. One and a half hours after Ben leaves, his sister Amanda begins jogging along the same path at 6 mi/h. How long will it be before Amanda catches up to Ben?[pic 22][pic 23]3 hFiora starts riding her bike at 20 mi/h. After a while, she slows down to 12 mi/h, and maintains that speed for the rest of the trip. The whole trip of 70 mi takes her 4.5 h. For what distance did she travel at 20 mi/h?[pic 24]She traveled for 2 h at 20 mi/h, or 40 miles.A chemistry teacher needs to mix a 30% salt solution with a 70% salt solution to make 20 qt of a 40% salt solution. How many quarts of each solution should the teacher mix to get the desired result? [pic 25]15 qt of 30% solution and 5 qt of the 70% solutionFor the following exercises, use this scenario: A truck rental agency offers two kinds of plans. Plan A charges $75/wk plus $.10/mi driven. Plan B charges $100/wk plus $.05/mi driven.Write the model equation for the cost of renting a truck with plan A. [pic 26] Write the model equation for the cost of renting a truck with plan B. [pic 27]Find the number of miles that would generate the same cost for both plans. [pic 28][pic 29]500 miIf Tim knows he has to travel 300 mi, which plan should he choose? [pic 30]Plan AFor the following exercises, solve for the given variable in the formula. After obtaining a new version of the formula, you will use it to solve a question.Solve for W: [pic 31] [pic 32][pic 33][pic 34] Use the formula from the previous question to find the width, [pic 35] of a rectangle whose length is 15 and whose perimeter is 58.[pic 36]Solve for [pic 37] [pic 38] [pic 39][pic 40] Use the formula from the previous question to find [pic 41] when [pic 42][pic 43]