Respuesta :

mhanifa

Answer:

  • The first option: $265.05

Step-by-step explanation:

Option 1

Payment as sequence:

  • 11.75, 12.10, 12.45, ...

This is an AP with:

  • The first term a = 11.75
  • Common difference d = 0.35
  • Number of terms n = 18

Find the sum of the first 18 terms:

  • S₁₈ = (a + a₁₈)*18/2 = (a + a + 17d)*9 = (11.75*2 + 17*0.35)*9  = $265.05

Option 2

Flat rate $14.50 per hour

The sum is:

  • $14.50*18 = $261.00

Compared, we see the first option pays more:

  • $265.05 > $261.00