if the students in the Spanish class find the product of their teacher's age and 3, they get a minimum of 78. what could be the age of the Spanish teacher? build and equation

1 answer

To find the possible age of the Spanish teacher based on the information provided, we can start by defining the age of the teacher as \( x \).

According to the problem, if the students multiply the teacher's age by 3, the product is at least 78. We can express this relationship with the following inequality:

\[ 3x \geq 78 \]

Now, to find the possible age of the Spanish teacher, we can solve for \( x \):

  1. Divide both sides of the inequality by 3:

\[ x \geq \frac{78}{3} \]

  1. Calculate the division:

\[ x \geq 26 \]

This means the teacher's age must be at least 26. Therefore, the possible ages for the Spanish teacher could be 26 or older (e.g., 26, 27, 28, ...).