Question

Select the better deal in the pair. Then give the unit rate for the better deal.

$106
________
25 gal
or
$82.05
_______
20 gal


The (select) deal is better. The unit rate of the better deal is $ ???

Answer 1

The better deal for purchasing gas is the second option at $82.05 for 20 gallons, with a unit rate of $4.10 per gallon, which is lower than the first option at $4.24 per gallon.

Step-by-step explanation:

To determine the better deal for purchasing gas, we need to calculate the unit rate for each option. This is done by dividing the total price by the number of gallons.

For the first option at $106 for 25 gallons, the unit rate is:

$106 ÷ 25 gal = $4.24 per gallon

For the second option at $82.05 for 20 gallons, the unit rate is:

$82.05 ÷ 20 gal = $4.1025 per gallon, which rounds to $4.10 per gallon.

The second option has a lower unit rate, so it is the better deal. The unit rate of the better deal is $4.10 per gallon.

This is a relevant example of making utility-maximizing choices by comparing unit rates.