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

Answer:

$19.9+0.05t<25$

Less than 102 text messages.

Step-by-step 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 $19.9+0.05t<25$

$19.9+0.05t<25\\\Rightarrow 0.05t<25-19.9\\\Rightarrow t<\dfrac{5.1}{0.05}\\\Rightarrow t<102$

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