Question

You have relatives living in the United Kingdom and in France. Suppose that you have purchased a prepaid phone card with a value of $75. Calls to the United Kingdom cost 23¢ per minute, while calls to France cost 21¢ per minute.
Part I: Write an expression for the total cost of calling to the United Kingdom, U(x), for a total of x minutes.
Part II: Write an expression for the total cost of calling to France, F(y), for a total of y minutes.
Part III: Write a linear inequality involving x and y to represent the number of minutes you can use to

Answer 1

. You have relatives living in the United Kingdom and in France. Suppose that you have purchased a prepaid phone card with a value of $75. Calls to the United Kingdom cost 23¢ per minute, while calls to France cost 21¢ per minute.



Part I: Write an expression for the total cost of calling to the United Kingdom, U(x), for a total of x minutes. (2 points)










Part II: Write an expression for the total cost of calling to France, F(y), for a total of y minutes. (2 points)












Part III: Write a linear inequality involving x and y to represent the number of minutes you can use to call the two countries and not exceed the value of your prepaid calling card. (2 points)
















Part IV: Graph the inequality you just wrote on the graph shown below. (2 points)


















Part V: Based on your graph, would you be able to call the UK for a total of 200 minutes and call France for a total of 200 minutes without exceeding the value of your calling card? Explain your answer.

Answer 2

PART I

Answer 3

75-(23X)

Answer 4

PART II

Answer 5

75-(21x)

Answer 6

@OpenSessame Thank You very much

Answer 7

No problem, knowing that should help you with the other ones.

Answer 8

Im prettty sure the inequality would look something like\[21y \le75\ge23x\]