3. A parking fee at SM Lucena costs P25.00 for the first two hours and an extra P5.00 for each hour of extension. If you park for more than twelve hours, you instead
pay a flat rate of P100.00. Represent your parking fee using the function pit)
where t is the number of hours you parked in the mall.

(Fill in the missing terms to show the
25 if
p(t) =} (25 + 5t) if
ift > 12
piecewise function of the problem)

p(t) = 25 + 5t if t ≤ 12

p(t) = 100 if t > 12

Step-by-step explanation:

Given

1. When time is not more than 12 hours.

Base amount = P25

Additional = P5 per hour

2. When time is more than 12 hours

Fee = P100 one time payment

Represent (1) as a function of t.

p(t) = Base Amount + Additional * t

p(t) = 25 + 5 * t

P(t) = 25 + 5t --- when t ≤ 12

Represent (2) as a function

P(t) = 100 when t > 12

So, the complete function is

p(t) = 25 + 5t if t ≤ 12

p(t) = 100 if t > 12

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5×5×5+2(8)÷2(2)+3(3)

15+16÷4+9

31÷13

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