Question

The following amounts of gasoline have been charged on a credit card: 44.1, 31.6,31.6,25.8, and 30.8 liters. The price of gasoline is 81 cents per liter. a. Use estimation techniques (rounding to the nearest 10 L ) and mental arithmetic to approximate the total amount of gasoline. Based on the approximate amount of gasoline, compute the total cost for gasoline to the nearest dollar. The approximate cost of gasoline is $ ___.

Answer 1

The estimated total amount of gasoline is approximately 160 liters after rounding each amount to the nearest 10 liters. The approximate total cost is calculated by multiplying the estimated liters by the price per liter, resulting in an approximate cost of $130.

Step-by-step explanation:

To estimate the total amount of gasoline charged on the credit card, we can round each amount to the nearest 10 liters and then use mental arithmetic to find the sum. Here is how the numbers round:

• 44.1 liters → 40 liters
• 31.6 liters → 30 liters (x2 for the two occurrences)
• 25.8 liters → 30 liters
• 30.8 liters → 30 liters

Adding these rounded amounts gives us a total of about 160 liters of gasoline.

Next, to calculate the approximate total cost for the gasoline, we multiply the estimated total liters by the price per liter. At 81 cents per liter, the calculation would be 160 liters × $0.81/liter. Therefore, the approximate total cost would be $129.60. Since we're estimating to the nearest dollar, the approximate cost of gasoline is $130.