Jim pays $75 per month for a cell phone plan plus $0.30 per minute beyond the first 1000 minutes.His bill was $105.60 last month. How many minutes did he use

Respuesta :

He used a total of 1102 minutes.

105.60 - 75 = 30.60

30.60/0.30 = 102

102+1000= 1102

Answer:

1102 minutes.

Step-by-step explanation:

Let x represent number of minutes beyond the first 1000 minutes.

We have been given that Jim pays $75 per month for a cell phone plan plus $0.30 per minute beyond the first 1000 minutes.

The cost of minutes beyond the first 1000 minutes would be [tex]0.30x[/tex].

The total cost of Henry's bill would be [tex]0.30x+75[/tex].

[tex]0.30x+75=105.60[/tex]

[tex]0.30x+75-75=105.60-75[/tex]

[tex]0.30x=30.6[/tex]

[tex]\frac{0.30x}{0.30}=\frac{30.6}{0.30}[/tex]

[tex]x=102[/tex]

The total minutes used by Jim will be 102 plus 1000.

[tex]1000+102=1102[/tex]

Therefore, Jim used 1102 minutes.