Question

A computer shop charges 20 pesos per hour (or a fraction of an hour) for the first two hours and an additional 10 pesos per hour for each succeeding hour. Represent your computer rental fee using the function R(t) where the is the number of hour you spent on the computer

Answer 1

Answer:

R(t) = 20(t)                      when   t < 2 or t = 2

R(t) = 20(2) + (t - 2)10     when  t > 2

Step-by-step explanation:

Let R(t) denotes the price of rent which depend on the number of hours.

Then

The situation given in the question can be given as piece wise function of two intervals where first interval is (0 , 2] and second interval is (2 , ∞)

We write the interval with the help of greater then or equal to notations

R(t) = 20(t)                      when   t < 2 or t = 2

R(t) = 20(2) + (t - 2)10     when  t > 2

For example let you use the computer for 5 hours then

R(5) = 20(2) + (5 -2)10 = 40 + 3(10) = 40 + 30 = 70

So price of rent for 5 hours will be 70 pesos