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

(44,500,3)
, (46,000,4)
, and (47,500,5)
left parenthesis 44,500 comma 3 right parenthesis , left parenthesis 46,000 comma 4 right parenthesis , and left parenthesis 47,500 comma 5 right parenthesis

(3,44,500)
, (4,46,000)
, and (5,47,500)
left parenthesis 3 comma 44,500 right parenthesis , left parenthesis 4 comma 46,000 right parenthesis , and left parenthesis 5 comma 47,500 right parenthesis

(−3,44,500)
, (−4,46,000)
, and (−5,47,500)
left parenthesis negative 3 comma 44,500 right parenthesis , left parenthesis negative 4 comma 46,000 right parenthesis , and left parenthesis negative 5 comma 47,500 right parenthesis

(3,4,500)
, (4,6,000)
, and (5,7,500)

Answer 1

To find Mr. Brown's salary after teaching for 3, 4, and 5 years using the function \( s = 1,500y + 40,000 \):

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

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

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

Combining these results, the points that represent Mr. Brown's salary after teaching for 3, 4, and 5 years are:

• \( (3, 44,500) \)
• \( (4, 46,000) \)
• \( (5, 47,500) \)

Thus, the correct response is:

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