To determine whether Maya is saving money, we first need to calculate the total cost of the rocks based on the price per ton, then compare it with the salesperson's offer.
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Calculate the total cost for 10.4 tons of rocks: \[ \text{Total Cost} = \text{Number of tons} \times \text{Cost per ton} \] \[ \text{Total Cost} = 10.4 , \text{tons} \times 32.90 , \text{USD/ton} \] \[ \text{Total Cost} = 342.16 , \text{USD} \]
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Compare the calculated cost with the salesperson's offer:
- Calculated Cost: $342.16
- Salesperson's Offer: $330
Since $330 is less than $342.16, Maya is indeed saving money if she agrees to the salesperson’s deal.
- Calculate the amount saved: \[ \text{Amount Saved} = \text{Calculated Cost} - \text{Salesperson's Offer} \] \[ \text{Amount Saved} = 342.16 - 330 = 12.16 , \text{USD} \]
In conclusion, Maya is saving $12.16 if she accepts the salesperson's offer of $330.