Question

Please help

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)

​

Answer 1

Option B.
`y-45=5(x-9)`

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

`y-y1=m(x-x1)`

we have

`m=5\ (goods)/(h)` ----> the rate is the same that the slope of the linear equation

`point\ (9,45)` --->(At hour 9, the company had produced 45 goods)

substitute

`y-45=5(x-9)`