For his mobile phone service, John pays a monthly fee of $40 plus $15 for each 1 GB of data (rounded up) over his 8 GB of data that comes with his plan. For his monthly charge before taxes to be at most $70, how many gigabytes of data can he use in a month

Respuesta :

Answer:

John can use no more than 2 GB of additional data

Step-by-step explanation:

Monthly fee = $40

Additional fee = $15 for each 1 GB of data (rounded up) over his 8 GB.

Let x be the number of additional data in GB over his 8 GB of data that comes with his plan.

Total monthly charge is

[tex]C(x)=40+15x[/tex]

It is given that monthly charge before taxes to be at most $70.

[tex]C(x)\leq 70[/tex]

[tex]40+15x\leq 70[/tex]

[tex]15x\leq 70-40[/tex]

[tex]15x\leq 30[/tex]

Divide both sides by 2.

[tex]x\leq 2[/tex]

Therefore, John can use no more than 2 GB of additional data.