Answer:
The answer is 90,000
Step-by-step explanation:
So, what I did was take X(81,000) and subtracted it by Y(75,000) which came down to 6000, I then divided that number by 4 which gave me 1,500, (meaning his salary increases by 1,500 per year). Lastly I multiplied that number(1,500) by 10, and added it by 75,000 which gave me the answer of 90,000.
Answer:
The salary increase per year is $1500. The slope intercept form is [tex]y=1500x+75000[/tex] and the salary in 10 years will be $90000.
Step-by-step explanation:
Consider the provided statement.
His starting salary will be $75,000 per year.
Let x represents the number of years worked and Y is Tom's salary amount in dollars.
When he has 0 yr of experience the salary is $75000 per year.
Which can be written as (0,75000).
He is told his salary will probably be $81,000 in four years.
Therefore, when he has 4 yr of experience the salary is $81000 per year.
Which can be written as (4,81000).
STEP 1:
Now, find the rate of change by using the formula [tex]slope=m=\frac{rise}{run}[/tex].
Calculate the rise by subtracting 75000 from 81000.
Rise = 81000 - 75000 = 6000
Now calculate the run by subtracting 0 from 4.
Run = 4 - 0 = 4
Substitute the respective values in the above formula.
[tex]slope=m=\frac{6000}{4}[/tex]
[tex]slope=m=1500[/tex]
Thus, the rate of change, or the salary increase per year is $1500.
STEP 2:
Now write the slope intercept form by using the formula:
[tex](y-y_1)=m(x-x_1)[/tex]
Substitute m = 1500 and [tex](x_1,y_1)=(0,75000)[/tex] on the above formula.
[tex](y-75000)=1500(x-0)[/tex]
[tex]y-75000=1500x[/tex]
[tex]y=1500x+75000[/tex]
Hence, the slope intercept form is [tex]y=1500x+75000[/tex].
STEP 3:
Now calculate the salary in 10 years.
Substitute the value of x = 10 in [tex]y=1500x+75000[/tex].
[tex]y=1500(10)+75000[/tex]
[tex]y=15000+75000[/tex]
[tex]y=90000[/tex]
Therefore, the salary in 10 years will be $90000.
