Question

during a baseball game, a player hits a ball while a bird is flying across the field. let $t$ be the time in seconds since the ball is hit and $h$ be the height in feet. the height of the baseball over time is modeled by the equation $h = -16t^2 + 65t$ and the height of a bird over time is modeled by the equation $h = 8t + 20$. what do the intersection points of the equations represent?
○ the height of the bird and the ball when the ball and the bird are the same distance from the player
○ the height of the bird and the ball when the player hits the ball
○ the time when the height of the ball and the bird are the same
○ the time when the ball and the bird hit the ground

Explanation:

The intersection points of two equations occur where their dependent variables (here, height $h$) have equal values for the same independent variable (here, time $t$). For these two height-time models, this means the times $t$ when the ball and bird share the exact same height $h$.

Answer:

the time when the height of the ball and the bird are the same