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question 6 arielles cell phone plan has a monthly charge of $50, plus $…

Question

question 6

arielles cell phone plan has a monthly charge of $50, plus $5 for every gigabyte of data used.

if her bill this month was $120, determine how many gigabytes she used this month by solving for \\(x\\) in the following equation:

\\-120 = -5x - 50\\

  • 10 gigabytes
  • 22 gigabytes
  • 34 gigabytes
  • 14 gigabytes

Explanation:

Write down the given equation

$$-120 = -5x - 50$$

Isolate the variable term

Add \(50\) to both sides of the equation:

$$-120 + 50 = -5x$$
$$-70 = -5x$$

Solve for x

Divide both sides by \(-5\):

$$x = \frac{-70}{-5}$$
$$x = 14$$

Answer:

  • 10 gigabytes
  • 22 gigabytes
  • 34 gigabytes
  • 14 gigabytes (Correct answer)