496,375 views
16 votes
16 votes
Which piecewise function best represents this situation: “a parking garage charges $2/hr up to a maximum charge of $12 for a day”?

Which piecewise function best represents this situation: “a parking garage charges-example-1
User Xxxbence
by
3.0k points

1 Answer

22 votes
22 votes
A

Step-by-step explanation

Step 1

set the inequalities

a) as the charge is $2/hr up to a maximum charge of $12 for a day

then, let's check every hour

[tex]\begin{gathered} if \\ the\text{ time is betw}en\text{ 0 hours and 1 hour the cost is 2} \\ so \\ 2\text{ if 0}and so on[tex]\begin{gathered} 2\text{ if 0}note that after 6 hours we got in the limit of 12, so we won't pay any more for the rest of the day, the day has 24 hours, so

after 5 hours and less or equal than 24 hours , the cost is the same, : $12

hence

[tex]\begin{gathered} 2\text{ if 0}therefore, the answer is

A

I hope this helps you

User Shady Alset
by
2.9k points