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 are 23 cents per minute, while calls to France cost 21 cents per minute.

a. write an expression for the total cost of calling to the United Kingdom, U(x), for a total of x minutes.

b. write an expression for the total cost of calling to France, F(y), for a total of y minutes.

c. 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.

d. graph the inequality you just wrote

e. 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.