Last week, burton paid $36.80 for 11 1/2 gallons of gas this week he bought 9 1/4 gallons of gas. the cost per gallon of gas increased by 5% between last week and this week. how much did burton pay for the 9 1/4 gallons of gas this week

Step-by-step explanation:

Last week, burton paid $36.80 for 11 1/2 gallons of gas. Converting 11 1/2 gallons of gas to decimal, it becomes 11.5. The rate at which Burton bought one gallon of gas last week would be

36.80/11.5 = $3.2

The cost per gallon of gas increased by 5% between last week and this week. The amount by which it increased would be

5/100 × 3.2 = 0.05 × 3.2 = $0.16

The cost of one gallon of gas for this week would be

3.2 + 0.16 = $3.36

She bought 9 1/4 gallons of gas this week. Converting 9 1/4 gallons of gas to decimal, it becomes 9.25 gallons of gas. The amount that she paid for gas this week would be

9.25 × 3.36 = $31.08