Question

Tom has just received a new job offer. He is told his starting salary will be $65,000 per year, and he is also told that his salary will probably be $71,000 in 5 years. Create a slope-intercept equation to represent Tom's salary over time.

a) (y = 6x + 65,000)
b) (y = 6x - 65,000)
c) (y = 71,000x + 5)
d) (y = 65,000x + 6)

Answer 1

The slope-intercept equation to represent Tom's salary over time is y = 1200x + 65000.

Step-by-step explanation:

The slope-intercept form of a linear equation is given by y = mx + b, where m is the slope and b is the y-intercept. In this case, since Tom's salary is increasing over time, the slope will be positive. To find the slope, we can use the formula:

slope = (change in y) / (change in x)

Using the given information, we can calculate the slope as:

slope = (71000 - 65000) / (5 - 0) = 6000 / 5 = 1200

Therefore, the correct slope-intercept equation to represent Tom's salary over time would be y = 1200x + 65000.