The Vega family has a cell phone plan that costs $75 per month including taxes and fees. The plan lets the 5 members of the Vega family share 1,000 of talk time per month and 400 text messages per month. Any minutes over 1,000 cost $1 per minute, and any texts over 400 cost $2 per text Because of a family emergency, the family uses 1,050 minutes and 415 texts in March. Write an expression you could use to find the amount of the Vega's cell phone bill for March. Evaluate the expression. Show your work.

Answer:the Vega's cell phone bill for March is $155

Step-by-step explanation:

Let x represent the number of talk time in minutes that the family uses for a month.

Let y represent the number of text messages that the family sends in a month.

Let z represent the total cost of using x talk time and sending y text messages in a month.

The cell phone plan costs $75 per month including taxes and fees. Any minutes over 1,000 cost $1 per minute, and any texts over 400 cost $2 per text. This means that the total cost of x minutes and y texts would be

z = 75 + 1 (x - 1000) + 2 (y - 400)

z = 75 + x - 1000 + 2y - 800

z = 75 - 1000 - 800 + x + 2y

z = x + 2y - 1725

Because of a family emergency, the family uses 1,050 minutes and 415 texts in March. The total cost would be

z = 1050 + 2 (415) - 1725

z = 1050 + 830 - 1725 = $155