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jekas [21]
3 years ago
9

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 m

inutes 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.
Mathematics
2 answers:
dolphi86 [110]3 years ago
3 0

Answer:

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

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. <u>The only one that is correct is D, because any amount of time greater than 90 minutes actually costs US$ 10.</u>

irinina [24]3 years ago
3 0

Answer:

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

Step-by-step explanation:

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\large\boxed{\left \{ {{y\geq -x + 3} \atop {y > 2x - 3}} \right.}

We can begin by looking at the solid-line pictured in the graph.

Using the slope-formula, we can derive the slope from this line:

\text{Slope } = \frac{ y_2 - y_1 } { x_2 - x_1 }

Plug in points from the line:

m = \frac{0- 3 } { 3 - 0} = -1

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y ≥ -x + 3

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