Applications of linear functions:

You receive an offer for renting a light installation for an event.

Company A offers a fixed charge of    $ 468    plus     $102     per day.

Select the correct charge function in the form y=mx+c

Linear Depreciation:

A print-machine with a purchase price of $48209 depreciates linearly at a rate of $ 4122 per year

What is the book value after 7 years ?                 y_b= - mx+c

Applications of linear functions:

You receive these two offers for renting a truck:

Charge function for Company A     y_A = 85x+100

Charge function for Company B      y_B = 72x+160

For how many days do both companies make the same charge?

x= number of days  ,  y = charges in $

(answer with max. 2 decimal places)

Linear Depreciation:

The purchase price of a new machine was CHF 76000.

After 5 years you sell the machine for CHF 4300.

Calculate the depreciation factor (rate)    m     in the expression for the book value y_b= - mx+c

(positive number)

m =

Revenue/Cost/Profit applications:

The profit function of a business is:

y_profit = 13x-40000

Calculate the number of articles at break even point:

x=

Applications of linear functions:

You rent a machine to polish the floors.

The charge function for the rent is:      y = 25 x + 77

What are the charges (rent) for 9 days?

x= number of days,   y = charges in CHF

(answer with max.2 decimal places)

Applications of linear equations:

John wants to have an interest of  CHF 417.3 at the end of the year.

How much does he have to invest at an interest rate of 0.8%?

(answer with max. 2 decimal places)

Applications of linear equations:

Paul invests $ 1800 into an savings account. After 10 months he collects an interest of $ 86

What was the interest rate in his account in percent?

(answer with max. 2 decimal places)

r = ......... %