Let's analyze the given information and derive the correct formula for your monthly bill as a function of the amount of data used in gigabytes (GB).
1. Base Cost: The base cost for the cell phone plan is [tex]$32.00$[/tex] per month.
2. Additional Cost: The cost per 1 GB of data used is [tex]$3.30$[/tex].
We need to find a formula [tex]$M(g)$[/tex] that calculates the total monthly bill based on the amount of data used, [tex]$g$[/tex] GB.
To determine the monthly bill, we start with the base cost and then add the cost for the data used:
- Base cost: [tex]$32.00$[/tex]
- Cost for [tex]$g$[/tex] GB of data: [tex]$3.30 \times g$[/tex]
Combining these, the total cost [tex]$M$[/tex] can be expressed as:
[tex]\[ M(g) = 32.00 + 3.30g \][/tex]
Now, let's review the given options and see which one matches our derived formula:
1. [tex]\( M(g) = 32.00g + 3.30 \)[/tex]
2. [tex]\( M(g) = 3.30g + 32.00 \)[/tex]
3. [tex]\( g(M) = 32.00M + 3.30 \)[/tex]
4. [tex]\( g(M) = 3.30M + 32.00 \)[/tex]
The correct formula is:
[tex]\[ M(g) = 3.30g + 32.00 \][/tex]
Therefore, the correct answer is:
[tex]\[ M(g) = 3.30g + 32.00 \][/tex]
