Question: 1. Suppose in 2003 certain groups contributed $288 million to federal candidates. In 2008, the figure rose to $383.5 million. Let A(t) represent the amount
1. Suppose in 2003 certain groups contributed $288 million to federal candidates. In
2008, the figure rose to $383.5 million. Let A(t) represent the amount of contributions, in millions, and t the number of years since 2000.
(a) Find a linear function that fits the data. Find A( t)
(b) Use the function of part (a) to predict the amount of contributions in 2010.
2. Complete the linear equation to model the outstanding balance for a person who is paying $30 per week to a friend to repay a $450 loan. The friend is not charging interest.Let B = the outstanding balance.Let w = the number of weeks.Part A: Complete the table of values:
| weeks | Balance |
| 1 | __________ |
| 2 | __________ |
| 3 | __________ |
Part B: Complete the equation with the rate of change (slope) and starting value (y-intercept).B =____w+__
3. Complete the equation to represent the daily reimbursement of a sales representative who recieves $35 per day for fun plus $0.55 per each mile traveled.
Let R = the daily reimbursement amount.
Let m = the miles traveled
Part A: Complete the chart
| mile traveled | Reimbursement |
| 0 | ______ |
| 50 | _____ |
| 100 | ________ |
Part B: Complete the equation R =___m + ____
4. Complete the equation that models the value of a computer that was purchaed for
$865 and depreciates by $65 per year.Let v = the value of the computerLet t = the time in years
Part A: Complete the chart of values
| time in years | value of computer |
| 0 | _______ |
| 1 | _______ |
| 2 | ________ |
Part B: Complete the formula v =____t+ ___
5. A pharmacist is required to order a certain medicine. He is told that he must order
7.08 g of the medicine for use in sugery. He also must order an additional 0.04 g for each non-surgical patient.
Let A = the total amount of medication that he should order
Let p = the number of non-surgical patients.
Part A: Complete the chart of values
| p = number of non-surgical patients | A = amount of med |
| 0 | _____g |
| 1 | ____g |
| 5 | ____g |
Part B: Complete the equation. A =____p+ __
6. Business Costs: A sales representative of a company using a personal car recieves
$165 per day for lodging and meals plus $0.5 per mile driven.
Let C = the daily cost to the company of having this sales representative on the road
let m = the miles driven
Part A: Complete the table of values
| m = miles driven | C = Cost to the company |
| 0 | -________ |
| 100 | _________ |
| 150 | _____---- |
Part B: Complete the equation.
C = __m+___
7. Monthly Salary: A pharmaceutical salesperson receives a monthly salary of
$2000 plus a commission of 6.2% of sales.
Let M = the montly salary
Let s = the sales for the month.
Part A: Complete the chart
| s = sales for the month | M = monthly salary |
| 0 | ______________ |
| 2500 | __________ --- |
| 5000 | ___________________ |
Part B: Complete the equation:
M =___s+____
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