A teacher in Colorado receives an annual salary increase of $1,500 each year they continue to work at a school within a district. If Mr. Brown has an initial salary of $40,000, using the function s=1,500y+40,000

Question

, where s is the total salary and y is the time in years, which of the following points on the graph represent how much Mr. Brown will make for teaching 3, 4, and 5 years in the district?(1 point)
Responses

(−3,44,500)
, (−4,46,000)
, and (−5,47,500)
open paren negative 3 comma 44 comma 500 close paren, open paren negative 4 comma 46 comma 000 close paren, and open paren negative 5 comma 47 comma 500 close paren - no response given

(3,44,500)
, (4,46,000)
, and (5,47,500)
open paren 3 comma 44 comma 500 close paren, open paren 4 comma 46 comma 000 close paren, and open paren 5 comma 47 comma 500 close paren - no response given

(3,4,500)
, (4,6,000)
, and (5,7,500)
open paren 3 comma 4 comma 500 close paren, open paren 4 comma 6 comma 000 close paren, and open paren 5 comma 7 comma 500 close paren - incorrect

(44,500,3)
, (46,000,4)
, and (47,500,5)

Answer 1

To determine Mr. Brown's salary for teaching 3, 4, and 5 years in the district, we can use the function \( s = 1,500y + 40,000 \).

1. For \( y = 3 \): \[ s = 1,500(3) + 40,000 = 4,500 + 40,000 = 44,500 \] So, the salary after 3 years is \( (3, 44,500) \).

2. For \( y = 4 \): \[ s = 1,500(4) + 40,000 = 6,000 + 40,000 = 46,000 \] So, the salary after 4 years is \( (4, 46,000) \).

3. For \( y = 5 \): \[ s = 1,500(5) + 40,000 = 7,500 + 40,000 = 47,500 \] So, the salary after 5 years is \( (5, 47,500) \).

Thus, the points on the graph that represent how much Mr. Brown will make for teaching 3, 4, and 5 years in the district are: \[ (3, 44,500), \quad (4, 46,000), \quad (5, 47,500) \]

The correct answer is: (3, 44,500), (4, 46,000), and (5, 47,500).