please help me with the first page with the linear

Unit Activity Unit: Money Management This activity will help you meet these educational goals: Mathematical PracticesYou will make sense of problems and solve them, reason abstractly and quantitatively, construct viable arguments and analyze the reasoning of others, use mathematics to model real-world situations, and look for and make use of structure. Introduction In this activity, you will explore how mathematics can help you make good financial decisions and manage your expenses better. In the first task, you will use linear equations to represent income and tax for a certain wage rate. In the second task, you will use a two-way data table to make financial decisions. __________________________________________________________________________ Directions and Analysis Task 1: Federal Taxes Xavier is working as a lifeguard over the summer, for which he is paid $9 per hour. He did some research on federal income tax and determined that he must pay 10% of his income in federal income tax, 12.4% in Social Security tax, and 2.9% in Medicare tax. a. Write a linear function representing Xavier's gross income (earnings before taxes) in terms of the number of hours (x) he works. Type your response here: b. Write a linear function representing the amount of money Xavier must pay in federal income tax in terms of the number of hours (x) he works. Type your response here: c. Write a linear function representing the amount of money Xavier must pay in Social Security tax in terms of the number of hours (x) he works. Type your response here: d. Write a linear function representing the amount of money Xavier must pay in Medicare tax in terms of the number of hours (x) he works. 1 2014 EDMENTUM, INC. Type your response here: Bnmm,,.. e. Write a linear function representing Xavier's net income (earnings after taxes) in terms of the number of hours (x) he works. Type your response here: f. Look again at the simplest form of the linear function you created in part e for net income. What does the numerical value (the coefficient of x) mean in terms of Xavier's situation? Type your response here: g. What will Xavier's gross and net income be if he works 110 hours in a month? Type your response here: h. What will the difference of his gross income and net income be for 110 hours of work? Type your response here: i. What does the value you found in part h represent in terms of Xavier's situation? Type your response here: Task 2: Choosing a Bank Chelsea is displeased with the services offered by her current bank and is planning to do her banking elsewhere. She has narrowed her search to five new banks. Chelsea prepared the following table, which shows the services and charges that will affect her decision most. (She intentionally replaced the bank names in the table with letters to avoid any bias on her part.) In the table, an ATM fee indicates a fee charged by the bank when the bank's ATM card is used at a third-party (another bank's) ATM. Note that when you use your bank's ATM card at a third-party ATM, the third-party ATM charges a fee in addition to your bank's ATM fee. Overdraft Protection Online Banking ATM Fee (per transaction at Bill Pay Monthly a third-party ATM) (per month) Banking Fee Bank A yes yes no free $5 Bank B no no $2 no no 2 Overdraft Protection Online Banking ATM Fee (per transaction at Bill Pay Monthly a third-party ATM) (per month) Banking Fee Bank C yes yes no* free $10 Bank D no yes $2 $5 no free $5 Bank E yes yes $2 *Bank C also refunds fees charged by any third-party ATM. a. Chelsea knows she definitely needs online banking. Which bank(s) can she choose to obtain this service? Type your response here: b. Chelsea also knows she wants free bill pay. Which bank(s) offer both online banking (from part a) and free bill pay? Type your response here: c. Now that Chelsea's removed some banks from her list, what are the key differences in the charges and services offered by the remaining banks? Type your response here: d. Chelsea looked over her previous bank statements from her old bank. She noticed that, on average, she used a third-party ATM three times a month and the third-party ATM charged an average of $2.50 per transaction. Assuming that she will continue using a third-party ATM with the same frequency, how much should she expect to be charged each month in ATM fees and monthly fees if she uses bank A? Type your response here: e. How much should she expect to be charged each month in ATM fees and monthly fees if she uses bank C? Type your response here: f. How much should she expect to be charged each month in ATM fees and monthly fees if she uses bank E? Type your response here: 3 g. Based on the average expected fees from parts d, e, and f, which bank would be her best option? Why? Type your response here: __________________________________________________________________________ Resources Document any references you used for this project below. At minimum, include a title and URL for any Internet resource: 4 Evaluation Your teacher will use this rubric to evaluate the completeness of your work as well as the clarity of thinking you exhibit. Total Points: 10 Task 1: Federal Taxes Task points: 5 a. Write a linear function representing gross income. 0.5 b. Write a linear function representing federal income tax. 0.5 c. Write a linear function representing Social Security tax. 0.5 d. Write a linear function representing Medicare tax. 0.5 e. Write a linear function representing net income. 0.5 f. 0.5 Explain the coefficient of x in the net income function. g. Compute gross and net income for 110 hours of work. 1 h. Compute the difference of gross and net income. 0.5 i. 0.5 Explain the meaning of the result found in part h. Task 2: Choosing a Bank Task points: 5 a. Choose banks that offer online banking. 0.5 b. Choose banks that offer online banking and bill pay. 0.5 c. Describe services and charges offered by remaining banks. 0.5 d. Compute ATM fees and monthly banking fees for bank A. 1 e. Compute ATM fees and monthly banking fees for bank C. 1 f. 1 Compute ATM fees and monthly banking fees for bank E. g. Choose the best bank according to ATM and banking fees. 5 0.5