Question

1. The relationship between the amount of time a car is parked, in hours, andthe cost of parking, in dollars, can be described with a function.1a. Identify the independent variable and the dependent variable in thisfunction.1b. Describe the function with a sentence of the form"ofis a function1c. Suppose it cost $3 per hour to park, with a maximum cost of $12. Does this graph represent this function?

Answer 1

Let c be the cost of parking.

Let t be time in hours.

1a.

When we change the time t, the cost will get changed.

That is, cost (c) is depending on time (t).

So, the independent variable is t and the dependent variable is c.

1b.

In sentence, the cost of parking (c) is a function of time (t).

1c.

Suppose it cost $3 per hour to park, with a maximum cost of $12.

From the graph, we observe that

Each input values gives the single output value.

Hence,

Yes, this graph represents this function.