Question

A cell phone company offers two different monthly text-messaging plans as shown in the table below. For what number of text messages will both plans cost the same? Fee per Messaging Plan Monthly Fee Message Plan A 35.00 monthly 0.10 per message Plan B 18.00 monthly 0.30 per message ​

Answer 1

Both Plan A and Plan B from a cell phone company will cost the same when the user sends or receives 85 text messages in a month.

Step-by-step explanation:

To find the number of text messages for which both Plan A and Plan B will cost the same, we can set up an equation where the total cost for each plan is equal. Let x be the number of messages sent.

Plan A: $35 + $0.10x
Plan B: $18 + $0.30x

Set the equations equal to solve for x:
$35 + $0.10x = $18 + $0.30x
Now, let's solve for x:

Step 1: Subtract $0.10x from both sides:
$35 = $18 + $0.20x

Step 2: Subtract $18 from both sides:
$17 = $0.20x

Step 3: Divide both sides by $0.20:
$17/$0.20 = x

x = 85

So, both plans will cost the same when a user sends or receives 85 text messages in a month.