A cell phone company charges a flat fee plus an additional charge per minute. If the graph contains the points (0,15)%0D%0A(%0D%0A0%0D%0A,%0D%0A15%0D%0A)%0D%0A and (50,90)%0D%0A(%0D%0A50%0D%0A,%0D%0A90%0D%0A)%0D%0A , what is the fee the company charges per minute? Give your answer in exact change.

1 answer

To find the fee the company charges per minute, we can use the formula for the equation of a line: y = mx + b, where y represents the total cost, x represents the number of minutes, m represents the fee per minute, and b represents the flat fee.

Using the given points (0, 15) and (50, 90), we can substitute the values into the formula to set up two equations:

15 = m(0) + b ...(1)
90 = m(50) + b ...(2)

From equation (1), we can see that the flat fee is 15, as it is the y-intercept when x = 0.

Subtracting equation (1) from equation (2), we get:

90 - 15 = m(50 - 0) + b - b
75 = 50m
m = 75/50
m = 3/2

Therefore, the fee the company charges per minute is 3/2 or $1.50 per minute.