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A cell phone company charges [tex]$\$[/tex]32.00[tex]$ per month for the base plan and an additional $[/tex]\[tex]$3.30$[/tex] per 1 GB of data used.

Write a formula using function notation that expresses your monthly bill [tex]$M$[/tex] as a function of the amount of data, [tex]$g$[/tex], you use.

A. [tex]$M(g) = 32.00 + 3.30g$[/tex]
B. [tex]$M(g) = 3.30g + 32.00$[/tex]
C. [tex]$g(M) = 32.00M + 3.30$[/tex]
D. [tex]$g(M) = 3.30M + 32.00$[/tex]

Sagot :

GinnyAnswer
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]
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