Question

Xavier is going to use a computer at an internet cafe. The cafe charges an initial fee to use the computer and then an additional price per minute of usage. Let C represent the total cost of using a computer for t minutes at the internet cafe. A graph of C is shown below. Write an equation for C then state the slope of the graph and determine its interpretation in the context of the problem.

C = ???
The slope of the function is ? which represents:
A: The total charge of using a computer
B: The number of minutes the computer was used
C: The additional charge per minute
D: The initial charge to use a computer

Answer 1

Answer:

  C = 1/5t +6

  slope: 1/5, (C) The additional charge per minute

Step-by-step explanation:

Before we can write the function, we need to know the slope of the line. Marked points are separated by 5 units horizontally (run=5) and 1 unit vertically (rise=1). The slope is ...

  m = rise/run = 1/5

The initial charge is the C-intercept: 6. The function can be written in slope-intercept form as ...

  C = 1/5t +6

__

As we saw above, the slope of the function is 1/5, which represents ...

  the additional charge per minute