Question

A cell 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

Answer 1

D. 45 + 0.25t = C; t = 120

Answer 2

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!!