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Answer:

B

Step-by-step explanation:

For 11  1/2 gallons, he paid $36.80.

We need to find the cost per gallon.

First, converting 11  1/2 gallons to decimal, it is:

1/2 = 0.5

So, 11  1/2  is  11.5 gallons

So, Cost Per Gallon (last week) = [tex]\frac{36.80}{11.5}=3.2[/tex]

There is 5% increase on this $3.20 per gallon. We find 5% of 3.2 and add it to 3.2 to find this week's cost per gallon.

5% = 5/100 = 0.05

0.05 * 3.20 = 0.16

So,

3.20 + 0.16  = $3.36 per gallon

Cost Per Gallon (this week) = $3.36

To buy 9  1/4 gallons it would take:

[tex]3.36*9.25=31.08[/tex]

Note:  1/4 = 0.25, so 9  1/4 = 9.25

It would cost $31.08  to buy  9.25 gallons this week

Correct answer is B

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