Triangle feg is similar to triangle ihj. find m

Given:                   number of years 1                 2             3  house 1 (value in dollars) 249,000 253,980 259,059.60house 2 (value in dollars) 249,000 256,000 263,000house 1: exponential functionhouse 2: linear functionhouse 1: f(x) = 249,000 * (1.02)^(x-1)  → f(3) = 249,000 * (1.02)³⁻¹ = 249,000 * (1.02)² = 259,059.60house 2: f(x) = 249,000 + 7,000(x-1)→ f(3) = 249,000 + 7,000(3-1) = 249,000 + 7,000(2) = 249,000 + 14,000 = 263,000house 1:   f(45) = 249,000 * (1.02)⁴⁵⁻¹ = 249,000 * (1.02)⁴⁴ = 249,000 * 2.39 = 595,110house 2: f(45) = 249,000 + 7,000(45-1) = 249,000 + 7,000(44) = 249,000 + 308,000 = 557,000house 1 will have a greater value than house 2 after 45 years