Use the table to answer the question.

Hours Worked 1 4 7 10 x

Money Earned y
$48 $84 $120 $156
Landon works at a movie theater. Yesterday he worked 4 hours and made $48. How much money will he make in 1 hour? How many hours does he need to work to make $156?

(1 point)
Hours Worked 1 4 7 10
Money Earned $
$48 $84 $120 $156

1 answer

To determine how much money Landon makes in 1 hour, we can use the information provided that after working 4 hours he earned $48.

  1. Calculate Money Earned per Hour: \[ \text{Money earned per hour} = \frac{\text{Total Money Earned}}{\text{Hours Worked}} = \frac{48}{4} = 12 \text{ dollars/hour} \] So, Landon makes $12 for every hour worked.

  2. Determine How Many Hours for $156: To find out how many hours he needs to work to make $156, we can set up the equation: \[ \text{Total Money Earned} = \text{Money per Hour} \times \text{Hours Worked} \] Rearranging gives us: \[ \text{Hours Worked} = \frac{\text{Total Money Earned}}{\text{Money per Hour}} = \frac{156}{12} = 13 \text{ hours} \]

In summary:

  • Landon makes $12 for 1 hour of work.
  • He needs to work 13 hours to earn $156.
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