a) Make a rational function for how many gallons of gas you can buy for $20, if the price is x cents different (positive=higher, negative = lower) from $3/gallon.

b) If your car holds 12 gallons, what x would let you fill your car for $20?

Thank you for the opportunity to help you with your question!

The new price = 3+x (x may be positive or negative)

Let the amount of gallons of gas you can buy be y

The amount of gas you can buy = Price * Quantity.

Hence the function would be:

y (3+x) = 20

b.

Quantity = 12

Total amount spent = $20

Price = 20/12 = $1.67

We have seen above that

P = 3+x

1.67 = 3+x

x= -1.33

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