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 an equation

Answer 1

To find the possible age of the Spanish teacher, we can let \( x \) represent the teacher's age. According to the problem, if the students find the product of the teacher's age and 3, that product should be a minimum of 78. We can express this relationship with the following inequality:

\[ 3x \geq 78 \]

To find the minimum age of the teacher, we can solve for \( x \):

1. Divide both sides of the inequality by 3:

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

2. Calculate the right-hand side:

\[ x \geq 26 \]

Thus, the possible ages of the Spanish teacher must be 26 years or older.