Question

Jae is a real estate photographer. The amount he earns in one week is a linear function of the number of houses he photographs. If he photographs 3 houses, he earns $390, and if he photographs 5 houses, he earns $620.

a. Create a linear model for Jae's earnings (y) (in dollars) as a function of the number of houses he photographs (x) and put the model in slope-intercept form.

Answer 1

Explanation:

(x, y) =

(3, $390)

(5, $620)

y = ax + b

390 = 3a + b

620 = 5a + b

2. equation minus 1. equation

230 = 2a

a = 115

390 = 3×115 + b = 345 + b

45 = b

y = 115x + 45