A gas station charges its customers for gasoline at the following rates: $5.15 per gallon up to 100 gallons $4.55 per gallon for every additional gallon up to 300 gallons $3.11 per gallon for every additional gallon up to a cap of 500 gallons How much will a customer pay for 400 gallons of gasoline? $1,345 $1,438 $1,736 $1,156

To calculate the total cost for 400 gallons of gasoline, let's break it down according to the pricing structure provided:

1. **For the first 100 gallons**: 
   \[
   100 \times 5.15 = 515
   \]

2. **For the next 200 gallons** (which covers the range from 100 to 300 gallons):
   \[
   200 \times 4.55 = 910
   \]

3. **For the final 100 gallons** (which covers the range from 300 to 400 gallons):
   \[
   100 \times 3.11 = 311
   \]

Now, summing up all the costs:
\[
515 + 910 + 311 = 1,736
\]

Thus, the total cost for 400 gallons of gasoline is **$1,736**.

The correct answer is **$1,736**.

Would you like further details or have any questions?

Here are 5 related questions to deepen your understanding:
1. How would the cost change for 500 gallons?
2. What is the total cost for 250 gallons?
3. What would be the average cost per gallon for 400 gallons?
4. How much would a customer pay for 150 gallons?
5. What is the price difference between buying 300 and 400 gallons?

**Tip:** Breaking down large problems into smaller parts helps you handle complex pricing structures easily!

A gas station charges its customers for gasoline at the following rates: $5.15 per gallon up to 100 gallons, $4.55 per gallon for every additional gallon up to 300 gallons, $3.11 per gallon for every additional gallon up to a cap of 500 gallons. How much will a customer pay for 400 gallons of gasoline? $1,345 $1,438 $1,736 $1,156

Find out how to calculate the cost of 400 gallons of gasoline using a piecewise pricing structure. This example demonstrates the breakdown of costs into different tiers: $5.15 per gallon for the first 100 gallons, $4.55 for the next 200 gallons, and $3.11 for the final 100 gallons. Total cost: $1,736.

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