PLEASE HELP WILL PAY

Gas costs $6 per gallon and diesel costs $8 per gallon. You have at most $85 to spend on fuel. You must purchase at least 12 gallons of gas for your car to run for the week. Let x be the amount of gas purchased and y be the amount of diesel purchased. Which of the following is a possible solution?

Verified Answer :

You can have 6 gallons of gas and 6 gallons of diesel.

Answer:

(12,1.625)

Step-by-step explanation:

Gas costs $6 per gallon

Cost of x gallons gas = $6x

Diesel costs $8 per gallon

Cost of y gallons gas = $8x

You have at most $85 to spend on fuel.

So, equations becomes : \(6x+8y\leq 85\)

You must purchase at least 12 gallons of gas for your car

\(\Rightarrow x\geq 12\)

So, by plotting graph , we get the possible solution .

Solution : (12,1.625)

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