Final answer:
Jeff needs to sell at least 32 bags of peanuts to earn $68, calculated by deducting his fixed pay from the total desired earnings and dividing by the amount he earns per bag.
Step-by-step explanation:
The question involves determining the number of bags of peanuts Jeff needs to sell to earn at least $68. We know that Jeff gets paid a fixed amount of $12 per game and also earns $1.75 for each bag of peanuts sold. To find out how many bags Jeff needs to sell, we need to use a simple algebraic equation.
Let's denote the number of bags Jeff needs to sell as 'x'. We can set up the equation:
12 + 1.75x ≥ 68
To isolate 'x' and solve for it, we need to subtract $12 from both sides of the equation:
1.75x ≥ 68 - 12
1.75x ≥ 56
Now, we divide both sides by 1.75 to find the number of bags:
x ≥ 56 / 1.75
x ≥ 32
So, Jeff needs to sell at least 32 bags of peanuts to earn at least $68 during a baseball game.