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
Quantity = 12
Total amount spent = $20
Price = 20/12 = $1.67
We have seen above that
P = 3+x
1.67 = 3+x
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