Question

on zoes sixth birthday, her brother began measuring her height. over the next year, zoe got taller and taller. this situation can be modeled as a linear relationship. what does the y - intercept of the line tell you about the situation? zoe grew 5 inches every month. zoe grew 1 inch every 5 months. zoe was 45 inches tall on her sixth birthday. zoe was 47 inches tall 10 months after her sixth birthday.

Explanation:

The y-intercept of a linear function occurs where the x-value is 0. Here, x represents months since Zoe’s sixth birthday, so x=0 corresponds to her sixth birthday. The line crosses the y-axis at y=45, meaning her height was 45 inches then.

Answer:

Zoe was 45 inches tall on her sixth birthday.