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)
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

(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 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 how much Mr. Brown will make after teaching for 3, 4, and 5 years, we can substitute the values of \(y\) into the function \(s = 1,500y + 40,000\).

1. For \(y = 3\): \[ s = 1,500(3) + 40,000 = 4,500 + 40,000 = 44,500 \] So for 3 years, Mr. Brown will make \(44,500\).

2. For \(y = 4\): \[ s = 1,500(4) + 40,000 = 6,000 + 40,000 = 46,000 \] So for 4 years, Mr. Brown will make \(46,000\).

3. For \(y = 5\): \[ s = 1,500(5) + 40,000 = 7,500 + 40,000 = 47,500 \] So for 5 years, Mr. Brown will make \(47,500\).

Now we can summarize the results:

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

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