Solve the problem.When a cup of coffee is poured, its decrease in temperature each minute is proportional to the difference between the coffee temperature and the room temperature at the beginning of the minute. Suppose that the room temperature is 60°, the temperature of the coffee is 150°, and the constant of proportionality is 0.25.(a) Write the difference equation for yn, the temperature of the coffee after n minutes.(b) Solve the difference equation.(c) What is the temperature of the coffee after two minutes? (d) Make a rough sketch of the graph of the solution of the difference equation in (b). 
What will be an ideal response?
| (a) | yn = 0.75yn-1 + 15, y0 = 150 |
(c) 110.625°
(d)
Mathematics
You might also like to view...
Solve.At Allied Electronics, production has begun on the X-15 Computer Chip. The total cost function is given by 
and the total profit function is given by 
where x represents the number of boxes of computer chips produced. The total revenue function, R(x), is such that 
Find R(x).
A. R(x) = 56x - 0.3x2 B. R(x) = 55x - 0.6x2 C. R(x) = 58x - 0.3x2 D. R(x) = 56x + 0.3x2
Mathematics
Use a vertical format to add the polynomials.2x5 - 4x2 + 8x 
A. 9x8 B. 15x5 - 4x2 - 2x C. 9x - 10x5 + 10x2 D. 9x5 - 10x2 + 10x
Mathematics
Solve the equation for ? if 
. Give your answer in degrees.
?
What will be an ideal response?
Mathematics
Determine whether the statement is true or false.The set of rational numbers is a finite set.
A. true B. false
Mathematics