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

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

Answer 2

the cost is
`\$6`

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`