The cost of parking for first hour is 2 dollars.
\The increasing value of charge for each additional hour is 1 dollar.
\The total parking charge must be a add of 2 dollars, so the graph will be the graph of a step function.
\If the time spent on parking is greater than 0 hours, but less than or equal to 1 hour, then the cost of parking is 2 dollars.
\If the time is greater than 1 hour, but less than or equal to 2 hours, then the cost of parking is dollars.
The cost of parking for third hour is dollars, and so on.
Therefore equation for the total cost of parking for x hours is .
Use the pattern of times and cost to make a table, where x is the number of hours and as C(x) is the total parking cost. \ \
\ \
x (hours) \ | \
\
C(x) (dollars) \ | \
\
(x, C(x)) (circle point) \ | \
(x, C(x)) (dot point) | \
\
| \
\
2 \ | \
\
| \
\
| \
\
| \
\
| \
\
| \
\
| \
\
| \
\
| \
\
| \
\
| \
\
| \
\
| \
\
| \
\
| \
\
| \
\
| \
\
| \
\
| \
\
| \
\
| \
\
| \
\
| \
To draw the step function follow the steps.
\1. Draw a coordinate plane.
\2. Plot the points on the coordinate plane.
\3. Then sketch the line segments, connecting the every two points (one dot point and one circle point) with a smooth line.
\Note: A dot means that the point is include in the graph and a circle means that the point is not included in the graph.
\From graph, the cost of parking there for hours is 6 dollars.
The cost of parking there for hours is 6 dollars.