Question

There are approximately 1.06 quarts per liter. There are 4 quarts per gallon. If gasoline cost $0.50 per liter, how much does gasoline cost per gallon?

Answer options with 5 options
A.
$1.42 per gallon

B.
$1.75 per gallon

C.
$1.89 per gallon

D.
$2.12 per gallon

E.
$4.24 per gallon

Answer 1

To find the cost of gasoline per gallon given its cost per liter, we can follow these steps:

1. **Convert gallons to liters**:
Since there are approximately 1.06 quarts per liter and 4 quarts in a gallon, we can convert gallons to liters:
\[
1 \text{ gallon} = 4 \text{ quarts} = 4 \times \left(\frac{1}{1.06} \text{ liters/quart}\right) = \frac{4}{1.06} \text{ liters}
\]
Calculating this gives:
\[
1 \text{ gallon} \approx 3.77 \text{ liters}
\]

2. **Calculate the cost of gasoline per gallon**:
Given that gasoline costs $0.50 per liter, we can find the cost per gallon by multiplying the cost per liter by the number of liters in a gallon:
\[
\text{Cost per gallon} = 3.77 \text{ liters} \times 0.50 \text{ dollars/liter}
\]
Performing the multiplication:
\[
\text{Cost per gallon} \approx 1.885 \text{ dollars}
\]

3. **Round the result**:
When rounded to two decimal places, this cost is approximately $1.89 per gallon.

Thus, the cost of gasoline per gallon is approximately **$1.89**.

The correct answer is:
**C. $1.89 per gallon**.