High School

A consulting firm has an initial fee of [tex]\$300[/tex] and charges [tex]\$150[/tex] per meeting. Model the total fee [tex]F[/tex] for [tex]m[/tex] meetings.

A. [tex]F = 450m[/tex]
B. [tex]F = 300 - 150m[/tex]
C. [tex]F = 300 + 150m[/tex]
D. [tex]F = 150 + 300m[/tex]

Answer :

We start by noticing that the total fee consists of two parts:

1. An initial fee of \[tex]$300.
2. An additional fee of \$[/tex]150 for each meeting.

If we let the number of meetings be [tex]$m$[/tex], then the fee for the meetings is [tex]$150m$[/tex]. Adding the initial fee, the total fee is given by

[tex]$$
F = 300 + 150m.
$$[/tex]

To check our model:

- For [tex]$m = 0$[/tex] (no meetings), the fee is
[tex]$$
F = 300 + 150(0) = 300.
$$[/tex]
- For [tex]$m = 1$[/tex] (one meeting), the fee is
[tex]$$
F = 300 + 150(1) = 450.
$$[/tex]

These values confirm the model. Therefore, the correct answer is

[tex]$$
\boxed{F = 300 + 150m}.
$$[/tex]>

This corresponds to option c.

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