Determine whether the following statement makes sense or does not make sense, and explain your reasoning.

The function

f(x)=25x+0.07

is a reasonable model for the monthly cost, f, in dollars, for a text message plan in terms of the number of monthly text messages, x.

Choose the correct answer below.

A.

The statement makes sense because the monthly cost

$25+$0.07=$25.07

is reasonable. Thus, the model is reasonable.

B.

The statement does not make sense because, according to the model

f(x)=25x+0.07,

the per-text charge is

$25,

which is too much. Thus, the model is not reasonable.

C.

The statement makes sense because, according to the model

f(x)=25x+0.07,

the monthly fee is

$0.07

and the per-text charge is

$25.

Since the monthly fee and the per-text charge are reasonable, the model is reasonable.

D.

The statement does not make sense because, according to the model

f(x)=25x+0.07,

the total monthly cost is

$0.07,

which is too little. Thus, the model is not reasonable.