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.
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.