Question

The cost of parking in a garage, in dollars, can be modeled by a step function whose graph is shown. How much does it cost to park for 3 hours and 45 minutes?
$3
$4
$6
$10

Answer 1

Answer:

the cost is $\ 6$

Step-by-step explanation:

observing the graph

we know that

For the interval of x------> $(0,1]$ -----> the cost is $\ 0$

For the interval of x------> $(1,3]$ -----> the cost is $\ 4$

For the interval of x------> $(3,4]$ -----> the cost is $\ 6$

For the interval of x------> $(4,infinite)$ -----> the cost is $\ 10$

In this problem we have

$3$ hours and $45$ minutes

therefore

the value of x belong to the interval $(3,4]$

the cost is $\ 6$

Answer 2

3 hours 45 minutes=3 hours (45 minutes)(1 hour)/(60 minutes)
3 hours 45 minutes=3 hours 0.75 hours
3 hours 45 minutes = 3.75 hours
3 hours < 3.75 hours < 4 hours →Cost=$6

Answer: Third option $6