Acell phone company charges $45 a month for phone service and $0.25 for each text message. which equation can be used to find the total number of text messages sent in a month? how many text messages were sent if the monthly bill was $75? only enter the capital letter of your choice into the blank (a, b, c, or d). a) 45 + 0.25t = c; t = 480 b) 45t + 0.25 = c; t = 120 c) 45t + 0.25 = c; t = 480 d) 45 + 0.25t = c; t = 120

Hey!!

A cell phone company charges $45 a month and hence, this would be constant and would be same the same value. And the company charges $0.25 for every text message.

Let's take the number of text messages as ' t '

The question asks us to find the number of text messages needed to make it $75 for the first month.

We know, the constant is $45 and we know the number of text messages as ' t ' and we also know the cost of each text messages is $0.25. And with all this given, we can find the total cost which is denoted by ' c '.

The total cost would be the price of a month added to the cost of text messages.

The total cost = c

The price of for month = $45

The price of text messages = $0.25t

Now, let's form the equation :

... c = 45 + 0.25t ( this is the equation )

The total cost given is $75  

Hence, the equation would be :

... 75 = 45 + 0.25t

Subtract 45 on both sides

... 30 = 0.25t

Divide 0.25 on both sides

... t = 120

Hence, the answer would be option ( D )

Hope my answer helps!!

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