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)
left parenthesis 3 comma 4,500 right parenthesis , left parenthesis 4 comma 6,000 right parenthesis , and left parenthesis 5 comma 7,500 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
(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)
The correct points represent the salary Mr. Brown makes after 3, 4, and 5 years, respectively. We use the given function s=1,500y+40,000 to find out the total salary for each year.
For the 3rd year:
s = 1,500(3) + 40,000
s = 4,500 + 40,000
s = 44,500
For the 4th year:
s = 1,500(4) + 40,000
s = 6,000 + 40,000
s = 46,000
For the 5th year:
s = 1,500(5) + 40,000
s = 7,500 + 40,000
s = 47,500
So, the correct points on the graph that represent Mr. Brown's salary after 3, 4, and 5 years are:
(3,44,500), (4,46,000), and (5,47,500)