Under her cell phone plan, Caroline pays a flat cost of $54.50 per month and $5 per gigabyte. She wants to keep her bill at $74 per month. Write and solve an equation which can be used to determine gg, the number of gigabytes of data Caroline can use while staying within her budget.



Answer :

Answer:

5 gg

Step-by-step explanation:

Let us treat the number of gigabytes of data she can use (at max) per month as x.

We can say that [tex]54.5 + 5x = 74[/tex] will always be deducted from her and $5x per month for the extra data she uses.

    [tex]54.5 + 5x = 74[/tex]

⇒  [tex]5x = 74 - 54.5[/tex]

⇒  [tex]5x = 25.5[/tex]

⇒  [tex]x = 25.5 / 5[/tex]

⇒ [tex]x = 5.1[/tex]

As she can only buy a fixed number of data, which cannot be a decimal, let us take the number directly below 5.1 - which is 5 - as the answer.

Caroline can use up to 5gg of data