4 Views of a Function Activity An electrician charges a fixed fee for a house call and then a fixed amount per hour on top of this.

The amount of medication in your system after you take an aspirin.

A small airplane flies on a direct route from town A to town B.

The blood pressure of an average person over a period of time.

You get two tickets free, but then you get charged a fixed rate per ticket.

A punter kicks the ball.

An internet café charges a fixed amount per minute to use the internet.

The amount of money you have in an account after a period of time.

Ind Var: Time in hours

Independent Var: Time in hours

Independent Var: Distance from town A in miles

Independent Var: Time in seconds

Ind Var: Number of tickets

Independent Var: Time in seconds

Ind Var: Time in minutes

Independent Var: Time in years

Dep Var: Total cost in dollars

Dependent Var: Medication in milligrams

x 0 1 2 3 5

f(x) 50 110 170 230 350

f ( x)  60 x  50

x 0 1 3 10 40

f(x) 400 284 143 13 0

f ( x)  400(.71) x

Dependent Var: Distance from town B in miles x 0 5 10 50 150

f(x) 150 145 140 100 0

f ( x)   x  150

Dependent Var: Blood pressure in mmHg

x 0 23 46 69 92

f(x) 118 78 118 78 118

f ( x)  22cos(2.5 x)  98

Dependent Var: Total money spent in dollars x 0 1 2 3 5

f(x) 0 0 0 8 24

Dependent Var: Height of the ball in feet

x 0 1 2.5 4 5

f(x) 0 64 100 64 0

Dep Var: Cost in dollars

x 0 1 2 5 10

f(x) 0 1.5 3 7.5 15

Dependent Var: Dollars

x 0 1 5 10 20

f(x) 500 510.10 552.59 610.70 745.91

f ( x)  8 x  16 f ( x)  80 x  16 x 2 f ( x)  1.5 x f ( x)  500e.02 x

4 Views of a Function Activity