India wants to make $97 selling plates of food. She sells each plate and a drink for $8. If she paid $7 for the drinks, use the inequality 8x−7≥97

to find at least how many plates she would have to sell to reach her goal.(1 point)
India would have to sell at least
plates.

1 answer

To solve the inequality \(8x - 7 \geq 97\) for \(x\) (the number of plates), we can follow these steps:

  1. Start with the original inequality: \[ 8x - 7 \geq 97 \]

  2. Add 7 to both sides: \[ 8x \geq 104 \]

  3. Now, divide both sides by 8: \[ x \geq \frac{104}{8} \] \[ x \geq 13 \]

Thus, India would have to sell at least 13 plates to reach her goal of $97 after accounting for the cost of the drinks.