Question

Tim's phone service charges $25.17 plus an additional $0.25 for each text message sent per month if tims phone bill was $31.42, which equation could be used to find how many text message x tim sent last month?

A $0.25x+$25.17=$31.42
B $0.25x-$25.17=$31.42
C $25.17x-$0.25=$31.42
D $25.17x+$0.25=$31.42

Answer 1

`\boxed{\sf A. \boxed{\sf 0.25x + 25.17 = 31.42 }}`

Explanation:

The equation that could be used to find how many text messages Tim sent last month is:

`\sf \$25.17 + \$ 0.25x =\$ 31.42`

We can rewrite it as:

`\sf \$ 0.25x + \$25.17 =\$ 31.42`

`\boxed{\boxed{\sf 0.25x + 25.17 = 31.42 }}`

This equation represents the following:

• 0.25x:The cost of the text messages, where 0.25 is the price per text message and x is the number of text messages sent.
• 25.17: The base monthly fee.
• 31.42: The total monthly bill.

To solve for x, we can subtract 25.17 from both sides of the equation:

`\sf \$ 0.25x + \$25.17 - \$ 25.17 =\$ 31.42 -\$ 25.17`

`\sf \$ 0.25x = \$6.25`

Then, we can divide both sides of the equation by 0.25 to find x:

`\sf (\$ 0.25x )/(0.25) = (\$6.25)/(0.25)`

`\sf x = \$25`

Therefore, the correct answer is:

`\boxed{\sf A. \boxed{\sf 0.25x + 25.17 = 31.42 }}`