A pot of tea is heated to 100°C. A cup of the tea is poured into a mug and taken outside where the temperature is 20°C. After 2 minutes, the temperature of the cup of tea is approximately 65°C. a. Determine the value of the proportionality constant, k b. Write a function for the temperature of the tea in the mug, T, in °C, as a function of time, t, in minutes. c. Graph the function, T

The monthly payment p on a mortgage varies directly with the amount borrowed b. Suppose that you decide to borrow $190,000 using a 30-year mortgage at 4% interest. You are told that your monthly payment is $907.09. Write a linear function that relates the monthly payment p to the amount borrowed b for a mortgage with the same terms.

Assume a cars depreciation value can be modeled by a linear function where y represents the cars value after t years. If the car was worth $1200 after 2 years and worth $300 after 5 years:  a. How much did the car depreciate each year? b. How much was the car worth when it first debuted? c. Write an equation that models the cars value as a function of time d. When will the car have no value?

3. Determine if the data is linear or exponential and find a function that models the data: -4 -2 0. 2 4 y 0.625 2.5 10 40 160