The conversion of temperature units from degrees to Fahrenhe

The conversion of temperature units from degrees to Fahrenheit to degrees Celsius is given by the equation C(z) = 5/9(x - 32), where z is given in degrees Fahrenheit. Let T(x) = 65 + 4x denote the temperature, in degrees Fahrenheit, in Pheonix, Arizona on a typical July day, where x is the number of hours after 6 A.M. Assume the temperature models holds until 4 P.M. of the same day. Find (C T)(x). A sports franchise revenue can be modeled by the function R(t) = 349 + 9t. Their operating costs are modeled by the function C(t) = 255 + 18t, where t the number of years since 2008 and both R(t) and C(t) are in millions of dollars. Find the profit function P(t).

Solution

Solution: - Given R(t) = 349 + 9t

C(t) = 255 +18t

Profit P(t) = R(t) - C(t)

P(t) = [(349 +9t) -(255 +18t)]

P(t) = 94 - 9t