Respuesta :
company’s profits (P) are related to increases in a worker’s average pay (x) by a linear equation.
We can write this expression in the form of linear equation as
p=K x + C where C is y-intercept.
For C=0, the equation reduces to
p = K x
The company’s profits drop by $1,500 per month for every increase of $450 per year in the worker’s average pay.
Company's loss after a year=$1500 × 12 =$18,000
p = K x
(x, p) = (450, -18,000) So we will take
⇒-18,000=450 K
⇒-18,000=450 K
⇒K= -18,000/450
slope of the graph of the equation= -18,000/450
= -1800/45
K = -200/9
The equation becomes y=[tex]-\frac{200}{9}\times x[/tex]

Answer: Our required slope is -0.3.
Step-by-step explanation:
Since we have given that
Profit is dropped by $1500.
so, amount of profit = (-)$1500
Worker's average pay is increased by $450.
Amount of average pay = (+)450
So, the slope of the graph of the equation would be
[tex]Slope=\dfrac{\text{Change in average pay}}{\text{Change in price}}\\\\Slope=\dfrac{+450}{-1500}\\\\Slope=-0.3[/tex]
Hence, our required slope is -0.3.