Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

the function s(t)=1,000t + 30,000 represents how much jordan earns base…

Question

the function s(t)=1,000t + 30,000 represents how much jordan earns based on the number of years hes worked. what does the number 1,000 represent? the base salary for the job. the total he earns in a year. the number of years hes worked. the extra amount he gets each year.

Explanation:

Step1: Analyze the linear - function form

The function $S(t)=1000t + 30000$ is in the form of a linear function $y = mx + b$, where $m$ is the slope and $b$ is the y - intercept. In the context of a salary function, $t$ represents the number of years worked.

Step2: Interpret the components

The coefficient of $t$ (1000) represents the rate of change of the salary with respect to the number of years worked. That is, for each additional year ($t$ increases by 1), the salary increases by 1000. The constant term 30000 represents the initial value of the salary when $t = 0$, which is the base salary.

Answer:

The number 1,000 represents the extra amount he gets each year. The number 30,000 represents the base salary for the job.