Question

To surf the internet for 15 minutes at an airport it cost 4.05 dollars for 40 minutes it cost 5.80 dollars write and solve a linear equation to find the cost for surfing the web for 1 hour

Answer 1

$4.20

Explanation:

To find the cost for surfing the web for 1 hour, you can set up a linear equation using the given information. Let x be the cost in dollars and y be the time in minutes. We have two data points:

1. For 15 minutes, it costs $4.05.
2. For 40 minutes, it costs $5.80.

Using these data points, you can create a linear equation in the form of y = mx + b, where m is the rate (cost per minute) and b is the initial cost:

For the first data point (15 minutes, $4.05):

15m + b = 4.05

For the second data point (40 minutes, $5.80):

40m + b = 5.80

Now, you can solve this system of equations to find the rate (m) and the initial cost (b). Subtract the first equation from the second to eliminate b:

(40m + b) - (15m + b) = 5.80 - 4.05

25m = 1.75

Now, divide both sides by 25 to find the rate (cost per minute, m):

m = 1.75 / 25

m = 0.07 dollars per minute

Now that you have the rate, you can find the cost for 1 hour (60 minutes):

Cost for 1 hour = 60 minutes × 0.07 dollars/minute

Cost for 1 hour = $4.20

So, it would cost $4.20 to surf the web for 1 hour.