Answer:
She will be paid $1,350
Step-by-step explanation:
Linear Modeling
Some events can be modeled as linear functions. If we are in a situation where a linear model is suitable, then we need two sample points to make the model and predict unknown behaviors.
The linear function can be expressed in the slope-intercept format:
y=mx+b, where m and b are constants.
The payments for a salesperson will be linearly modeled. There are two known points: When the sales were $16,000, the payment was $1,600. This makes the point (16,000;1,600).
We also know when the sales were $12,000, the payment was $1,400. The point is (12,000;1,400)
Let's use the points to find the values of m and b.
Using (16,000;1,600):
1,600=m*16,000+b
Using (12,000;1,400):
1,400=m*12,000+b
Subtracting both equations:
200=16,000m-12,000m
200=4,000m
Solving:
m=200/4,000=0.05
Using the first equation and the value of m:
1,600=0.05*16,000+b
1,600=800+b
Solving:
b=800
The equation is now complete:
y=0.05x+800
She sold $11,000 this month, so the payment is:
[tex]y=0.05\cdot 11,000+800[/tex]
Y=550+800=1,350
She will be paid $1,350
Answer:
1350
Step-by-step explanation:
(Note: this method is not the best to use in future problems, please refer to the other answer if you want something better to use.)
16,000-12,000=4,000
1,600-1,400=200
To find the rate of change in 1000s:
200/4 = 50
Essentially this means the rise is 50 and the run is 1000, so, just remove $50 from the payment from 2 months ago to find your answer
