The (average) sale price for

Question

single family property in Seattle and Port
Townsend is tabulated below:
YEAR SEATTLE PORT TOWNSEND
1970 $38,000 $8400
1990 $175,000 $168,400
When will the Seattle sales price be double
the Port Townsend sales price
Idk how to start this lol

Answer 1

If you use a linear model, when after x years,

38000 + (175000-38000)/20 x = 2(8400 + (168400-8400)/20 x)
x = 2.3
So, the price would been double in 1972.

So, assume a constant percentage growth each year:

38000 (1+(175/38))^(x/20) = 2(8400(1+(1684/84))^(x/20)
x = 12.34
So, the year would have been 1983

The language of the question appears to indicate they want a date later than 1990, but that's not the case.

The Seattle home grew 137K in 20 years
The Port Townsend home grew 160K in 20 years.

Since in 1990 the Seattle home is less than twice the PortT home, and it is growing more slowly, it will never be double after 1990.