a. The independent variable in this function is the amount of time a car is parked (in hours) and the dependent variable is the cost of parking (in dollars)
b. "The cost of parking (in dollars) is a function of the amount of time a car is parked in hours."
c. A possible graph of the function is shown below.
d. A point on the graph is (2, 6) and it means that it cost $6 to park a car for 2 hours.
Part a.
In Mathematics, an independent variable is a type of variable that does not depend on any other variable for its value.
A dependent variable is the variable which signifies the effect of an independent variable and it is dependent on other factors.
Part b.
The function can be described as a sentence as "The cost of parking (in dollars) is a function of the amount of time a car is parked in hours."
Part c.
Assuming it costs $3 per hour to park, with a maximum cost of $12, a piecewise-defined function that models the situation can be written as follows;
Therefore, a graph would be skectched by using the above piecewise-defined function.
Part d.
In conclusion, a point on the graph is (2, 6) and it means that it cost $6 to park a car for 2 hours.
Complete Question;
The relationship between the amount of time a car is parked, in hours, and the cost of parking, in dollars, can be described with a function. a. Identify the independent variable and the dependent variable in this function.
b. Describe the function with a sentence of the form "________________ is a function of ________________."
c. Suppose it costs $3 per hour to park, with a maximum cost of $12. Sketch a possible graph of the function. Be sure to label the axes.
d. Identify one point on the graph and explain its meaning in this situation.