Question

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
, 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

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

(−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)

Answer 1

To determine Mr. Brown's salary after 3, 4, and 5 years at the school, we can use the salary function provided:

\[ s = 1,500y + 40,000 \]

where \( s \) is the total salary and \( y \) is the number of years he has worked.

Calculating for each year:

1. **For 3 years (y = 3)**:
\[
s = 1,500(3) + 40,000 = 4,500 + 40,000 = 44,500
\]

2. **For 4 years (y = 4)**:
\[
s = 1,500(4) + 40,000 = 6,000 + 40,000 = 46,000
\]

3. **For 5 years (y = 5)**:
\[
s = 1,500(5) + 40,000 = 7,500 + 40,000 = 47,500
\]

So the salaries after 3, 4, and 5 years are:

- After 3 years: $44,500
- After 4 years: $46,000
- After 5 years: $47,500

Now, let's summarize the points representing the salaries at those years:

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

Based on the responses provided, the correct option is:

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