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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

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 class=

Respuesta :

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
calculista

Answer:

the cost is [tex]\$6[/tex]

Step-by-step explanation:

observing the graph

we know that

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

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

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

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

In this problem we have

[tex]3[/tex] hours and [tex]45[/tex] minutes

therefore

the value of x belong to the interval [tex](3,4][/tex]

the cost is [tex]\$6[/tex]

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