G7 Group Problem G7 Home Learning
Friday, May 19, 2023
Thursday, June 1, 2023
The Best Cell Phone Company
T-Mobile offers the following basic cell phone plan to its customers: A customer pays a monthly
fee of $15.00. In addiMon, the customer pays $0.05 per text message sent from the cell phone.
There is no limit to the number of text messages per month that could be sent, and there is no
charge for receiving text messages.
1. If Dylan never sends a text message, what would be his total monthly cost?
How did you determine the total monthly cost?
2. During a typical month, Diego sends about 100 text messages.
What is his total cost for a typical month? How did you determine the total monthly cost?
3. Mr. Romeo overdoes it on Remind and sends at least 250 text messages.
What would be an esMmate of the least his total monthly cost is likely to be?
Explain why this one is an esMmate, not an exact amount.
4. Using the informaMon above write a linear model (equaMon) describing the relaMonship
between the number of text messages sent and the total monthly cost.
5. How do you know the relaMonship between the number of text messages and total monthly
cost is a linear relaMonship?
6. Explain what $0.05 represents in this relaMonship.
7. Explain what $15.00 represents in this relaMonship.
8. Sketch a graph of this relaMonship on the following coordinate grid.
Clearly label the axis and include units in the labels.
Below are the rates for two other cell phone companies.
Using the information above from T-Mobile and the other two cell
phone companies, answer the following questions.
AT&T
Text Messages (input)
50
100
150
200
Monthly cost(output)
$15
$20
$25
$30
Verizon Wireless
y = 0.15x + 5
9. Which of the three companies would be the least amount of money if you never sent a single
text all month? Explain how you determined the cheapest one.
10. Which of the three companies would be the most amount of money if you never sent a
single text all month? Explain how you determine the most expensive one.
11. Which of the three companies has the cheapest charge per text? Explain how you
determined your answer.
12. Which of the three companies has the most expensive charge per text? Explain how you
determined your answer.