Question

The function f(t) represents the cost to connect to the Internet at an online gaming store. It is a function of t, the time in minutes spent on the Internet.
f(t) =StartLayout Enlarged left-brace 1st row 1st column 0 dollars 2nd column 0 less-than t less-than-or-equal-to 30 2nd row 1st column 5 dollars 2nd column 30 less-than t less-than-or-equal-to 90 3rd row 1st column 10 dollars 2nd column t greater-than 90 EndLayout

Which statement is true about the Internet connection cost?

It costs $5 per hour to connect to the Internet at the gaming store.
The first half hour is free, and then it costs $5 per minute to connect to the Internet.
It costs $10 for each 90 minutes spent connected to the Internet at the gaming store.
Any amount of time over an hour and a half would cost $10.

Answer 1

Answer:

The correct answer is D. Any amount of time over an hour and a half would cost $10.

Step-by-step explanation:

f (t), when t is a value between 0 and 30

The cost is US$ 0 for the first 30 minutes

f (t), when t is a value between 30 and 90

The cost is US$ 5 if the connection takes between 30 and 90 minutes

f (t), when t is a value greater than 90

The cost is US$ 10 if the connection takes more than 90 minutes

According to these costs, statements A, B and C are incorrect. The connection doesn't cost US$ 5 per hour like statement A affirms, the cost of the connection isn't US$ 5 per minute after the first 30 minutes free as statement B affirms and neither it costs US$ 10 for every 90 minutes of connection, as statement C affirms. The only one that is correct is D, because any amount of time greater than 90 minutes actually costs US$ 10.

Answer 2

Answer:

The correct answer is D. Any amount of time over an hour and a half would cost $10.

Step-by-step explanation: