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A manager measured the number of goods, y, that his company produced in x hours. The company produces goods at a rate of 5 per hour. At hour 9, the company had produced 45 goods.

Which equation, in point-slope form, correctly represents the goods produced by the company after x hours?

A.y−45=5(x+9)

B.y−45=5(x−9)

C.y+9=5(x+45)

D.y−9=5(x−45)

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Respuesta :

calculista

Answer:

Option B.  [tex]y-45=5(x-9)[/tex]

Step-by-step explanation:

Let

x -----> the number of hours

y ----> the number of goods

we know that

The equation of a line in point slope form is equal to

[tex]y-y1=m(x-x1)[/tex]

we have

[tex]m=5\ \frac{goods}{h}[/tex] ----> the rate is the same that the slope of the linear equation

[tex]point\ (9,45)[/tex] --->(At hour 9, the company had produced 45 goods)

substitute

[tex]y-45=5(x-9)[/tex]