Question

A cell phone plan charges $19.90 a month, plus $0.05 per text message

Create & solve an inequality that represents the number of texts, t, that can be

sent while still keeping the monthly bill under $25?

Answer 1

`19.9+0.05t<25`

Less than 102 text messages.

Explanation:

Monthly charge of cell phone = $19.90

Cost of one text message = $0.05

Let number of text messages be
`t`

The monthly bill should be less than $25. So,

`19.9+0.05t<25`

The required inequality is
`19.9+0.05t<25`

`19.9+0.05t<25\\\Rightarrow 0.05t<25-19.9\\\Rightarrow t<(5.1)/(0.05)\\\Rightarrow t<102`

So, the number of text messages that can be sent while keeping the bill under $25 is less than 102.