Answer:
1479 minutes
Step-by-step explanation:
Given
Monthly Fee = $17
Charges per minute = $0.06
Least charge = $105.74
Required
Determine the possible number of minutes
Representing the number of minutes with m;
The inequality can be written as
[tex]17 + 0.06 * m \geq 105.75[/tex]
We're making use of [tex]\geq[/tex] because the question says the least which means his charges could be more
Solving the inequality
[tex]17 + 0.06 * m \geq 105.75[/tex]
[tex]17 + 0.06 m \geq 105.75[/tex]
Subtract 17 from both sides
[tex]17 -17+ 0.06 m \geq 105.75-17[/tex]
[tex]0.06 m \geq 105.75-17[/tex]
[tex]0.06 m \geq 88.75[/tex]
Divide both sides by 0.06
[tex]\frac{0.06 m}{0.06} \geq \frac{88.75}{0.06}[/tex]
[tex]m \geq \frac{88.75}{0.06}[/tex]
[tex]m \geq 1479.16666667[/tex]
[tex]m \geq 1479[/tex] (Approximated)
The possible number of minutes he has used his phone is at least 1479 minutes
