Cell Phone Plans Gwendolyn is mulling over the three cell phone plans shown in the table.
Gigabytes (GB) of data included | Monthly Cost | Each additional megabytes (MB) | |
Plan A Plan B Plan C |
1 1 1 |
$25.00 $40.00 $60.00 |
$2.00 $1.50 $1.00 |
From past experience, Gwendolyn knows that she will always use more than 1GB of cell phone data every month.
(a)Make table of values that shows the cost of each plan for 1 GB to 4 GB, in 500 MB increments.
(b)Find formulas that give Gwendolyn’s monthly cost for each plan, assuming that she uses
(c)What is the charge from each plan when Gwendolyn uses 2.2 GB? 3.7 GB? 4.9 GB?
(d) Use your formulas from part (b) to determine the number of gigabytes of data usage for which:
(i) Plan A and Plan B give the same cost.
(ii) Plan A and Plan C give the same cost.
(iii) Plan B and Plan C give the same cost.
(a)
To Find:
A table for the cost of cell phone plans.
The monthly cost of plan A is $25.
The plan A includes 1 GB data.
Each additional 100 MB cost $2.
Then, every additional 500 MB costs $10.
The monthly cost of plan B is $40.
The plan B includes 1 GB data.
Each additional 100 MB cost $1.5.
Then, every additional 500 MB costs $7.5.
The monthly cost of plan C is $60.
The plan C includes 1 GB data.
Each additional 100 MB cost $1.
Then, every additional 500 MB costs $5.
(b)
To Find:
A formula for monthly cost of cell phone plan.
(c)
To Find:
The charge for each plan for 2.2GB, 3.7GB, 4.9GB.
(d)
The number of gigabytes of data used.
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Data (GB) |
Plan A (in dollars) |
Plan B (in dollars) |
Plan C (in dollars) |
1 | 25 | 40 | 60 |
1.5 | 35 | 47.5 | 65 |
2 |