Question

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?

Answer 1

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

Answer 2

(12,1.625)

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)