The equation \( y = 15x + 30 \) is a linear equation in the form of \( y = mx + b \), where \( m \) is the slope and \( b \) is the y-intercept.
In this context, \( y \) could represent the total distance climbed in feet, and \( x \) could represent the number of flights of stairs climbed. Here’s what the components of the equation mean:
- The slope \( 15 \) indicates that for each flight of stairs climbed (each additional unit of \( x \)), they climb 15 feet.
- The y-intercept \( 30 \) means that when \( x = 0 \) (no flights climbed), they start at 30 feet. This could represent the height at which they begin climbing or the elevation of the entry point.
Overall, the equation indicates that as Hassan and Jenny continue to climb flights of stairs, the height they have climbed increases by 15 feet for each additional flight, starting from a height of 30 feet.