The charge for parking in a parking lot is based on the piecewise function where x is the time in hours and y is the cost in dollars. What is the charge for parking for 3.75 hours?

Question

A graph has short horizontal segments that give the appearance of steps, each with a width of one unit. A graph has horizontal line segments from the open circle left parenthesis 0 comma 3 right parenthesis to closed circle left parenthesis 1 comma 3 right parenthesis, from the open circle left parenthesis 1 comma 6 right parenthesis to closed circle left parenthesis 2 comma 6 right parenthesis, from the open circle left parenthesis 2 comma 9 right parenthesis to closed circle left parenthesis 3 comma 9 right parenthesis, from the open circle left parenthesis 3 comma 12 right parenthesis to closed circle left parenthesis 4 comma 12 right parenthesis, from the open circle left parenthesis 4 comma 15 right parenthesis to closed circle left parenthesis 5 comma 15 right parenthesis, and from the open circle left parenthesis 5 comma 18 right parenthesis to closed circle left parenthesis 6 comma 18 right parenthesis.

(1 point)
Responses

$10

$10

$12

$12

$13

$13

$15

Answer 1

To determine the parking charge for 3.75 hours from the piecewise function described in the problem, let's review the provided piecewise function segments based on the intervals:

• From 0 to 1 hour (open circle at (0, 3) to closed circle at (1, 3)): $3
• From 1 to 2 hours (open circle at (1, 6) to closed circle at (2, 6)): $6
• From 2 to 3 hours (open circle at (2, 9) to closed circle at (3, 9)): $9
• From 3 to 4 hours (open circle at (3, 12) to closed circle at (4, 12)): $12
• From 4 to 5 hours (open circle at (4, 15) to closed circle at (5, 15)): $15
• From 5 to 6 hours (open circle at (5, 18) to closed circle at (6, 18)): $18

Since 3.75 hours falls between 3 and 4 hours, we look at the charge associated with that interval, which is $12.

Thus, the charge for parking for 3.75 hours is $12.