I need help solving this. I do not get it one bit.

The median home sale price in country A has been rising approximately linearly since 1995. The median home sale price in 1995 was ​$110,500. The median home sale price in 2004 was ​$194,200. Let P be the median home sale price and let t be the number of years since 1995.

Determine a function​ P(t) that fits this data.

1 answer

A has been rising approximately linearly
means you are looking for a function like
A = mt+b

Since t=0 for 1995, you know that
A = mt + 110,500

The home price rose by 194,200-110,500 = 83700
2004 is 9 years after 1995.
So, the slope of the line is 83700/9 = 9300

The line is thus

A = 9300t + 110500