Question

Julia pays a flat rate of $106 for her cell phone and is charged $0.12 for every text she sends. Julia spends at least $142 on her phone bill each month. Which of the following describes the number of texts she sends?

a. a minimum of 300
b. a maximum of300
c. more than 300
d. fewer than 300

Answer 1

a. A minimum of 300

Explanation:

If her bill is $142 then it is a sum of the flat rate plus the money she pays for all the smses she sent. As an equation, it can be expressed this way

106 + 0.12x = 142 where x is the number of smses

0.12x = 36

x = 300 smses

So if we were told that she pays $142 per month, we'd know that she sends 300 smses. But we are told she pays AT LEAST $142 so there is a possibility that she sends even more than 300 smses