A teacher receives an annual salary increase of $1500 each year they continue to work at the school. If Joe has an initial salary of $40,000 using the function s = 500y + 40,000 where s is the total salary and y is the time in years which of the following points on the graph represents how much Joe will make for teaching 3,4,and 5 years in the school

Answer 1

To evaluate Joe's salary after 3, 4, and 5 years of teaching, we can use the formula you provided:

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

Here, \(s\) is the total salary and \(y\) is the number of years Joe has been teaching.

Now, we can calculate the salary for each year:

1. For \(y = 3\) (after 3 years): \[ s = 500(3) + 40,000 = 1500 + 40,000 = 41,500 \]

2. For \(y = 4\) (after 4 years): \[ s = 500(4) + 40,000 = 2000 + 40,000 = 42,000 \]

3. For \(y = 5\) (after 5 years): \[ s = 500(5) + 40,000 = 2500 + 40,000 = 42,500 \]

Thus, the points representing Joe's salary after teaching 3, 4, and 5 years would be:

• After 3 years: \((3, 41,500)\)
• After 4 years: \((4, 42,000)\)
• After 5 years: \((5, 42,500)\)

These points can be plotted on a graph, with years on the x-axis and salary on the y-axis.