Question

The number of sofas a factory produces varies directly with the number of hours the machinery is operational. Suppose the factory can produce 455 sofas in 48 hours. What is an equation that relates the number of sofas produced, n, with the amount of time, t, in hours? What is the graph of your equation?

A. n = 9.48t


B. n = 0.11t



C. t = 4.74n



D. t = 9.48n

Answer 1

n = 9.48t

Explanation:

We are given that The number of sofas a factory produces varies directly with the number of hours the machinery is operational.

Factory produces sofas in 48 hours = 455

Factory produces Sofas in 1 hour =
`(455)/(48) =9.48`

Let the number of sofas produced, n, with the amount of time, t, in hours.

Since we are given that The number of sofas a factory produces varies directly with the number of hours.

And the rate of production is 9.48

So, n = 9.48t

Hence Option A is correct.

A. n = 9.48t

Answer 2

n = kt

455 = k (48)

k = 455 / 48

n = (455/48)t

n = 9.48t

The answer is option A

Hope this helps