Answer: The total medical bill function for Dr. Leon is given by:
c(m) = 26m + 60
During the holidays, Dr. Leon changes his total medical bill function to:
c(m) = 35m + 45
We can compare the two functions to see how they differ:
c(m) = 35m + 45 (holiday pricing)
c(m) = 26m + 60 (regular pricing)
To calculate the difference in cost between the two pricing plans, we can subtract the regular pricing from the holiday pricing:
c(m) - c(m) = (35m + 45) - (26m + 60)
= 9m - 15
Therefore, the difference in cost between the two pricing plans is 9m - 15 dollars per 20-minute session. For any given value of m, we can use this expression to calculate the difference in cost between the two pricing plans.
Explanation: