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? (1 point) Responses n = 9.48t The vertical axis is referred to as n and is labeled number of sofas. The horizontal axis is referred to as t and is labeled as time left-parenthesis h right-parenthesis. The n axis is numbered from 0 to 210 with a step size of 30. The t axis is numbered from 0 to 70 with a step size of 10. The line begins just below left-parenthesis 0 comma 15 right-parenthesis and continues on through left-parenthesis 20 comma 200 right-parenthesis. n = 9.48 t Image with alt text: A The vertical axis is referred to as n and is labeled number of sofas. The horizontal axis is referred to as t and is labeled as time left-parenthesis h right-parenthesis. The n axis is numbered from 0 to 210 with a step size of 30. The t axis is numbered from 0 to 70 with a step size of 10. The line begins just below left-parenthesis 0 comma 15 right-parenthesis and continues on through left-parenthesis 20 comma 200 right-parenthesis. n = 0.11t The vertical axis is referred to as n and is labeled number of sofas. The horizontal axis is referred to as t and is labeled as time left-parenthesis h right-parenthesis. The n axis is numbered from 0 to 210 with a step size of 30. The t axis is numbered from 0 to 70 with a step size of 10. The line begins just to the left of left-parenthesis 25 comma 0 right-parenthesis and continues on through just below left-parenthesis 15 comma 70 right-parenthesis. n = 0.11 t Image with alt text: B The vertical axis is referred to as n and is labeled number of sofas. The horizontal axis is referred to as t and is labeled as time left-parenthesis h right-parenthesis. The n axis is numbered from 0 to 210 with a step size of 30. The t axis is numbered from 0 to 70 with a step size of 10. The line begins just to the left of left-parenthesis 25 comma 0 right-parenthesis and continues on through just below left-parenthesis 15 comma 70 right-parenthesis. t = 4.74n The vertical axis is referred to as n and is labeled number of sofas. The horizontal axis is referred to as t and is labeled as time left-parenthesis h right-parenthesis. The n axis is numbered from 0 to 210 with a step size of 30. The t axis is numbered from 0 to 60 with a step size of 10. The line begins just below left-parenthesis 0 comma 15 right-parenthesis and continues on through left-parenthesis 40 comma 200 right-parenthesis. t = 4.74 n Image with alt text: C The vertical axis is referred to as n and is labeled number of sofas. The horizontal axis is referred to as t and is labeled as time left-parenthesis h right-parenthesis. The n axis is numbered from 0 to 210 with a step size of 30. The t axis is numbered from 0 to 60 with a step size of 10. The line begins just below left-parenthesis 0 comma 15 right-parenthesis and continues on through left-parenthesis 40 comma 200 right-parenthesis. t = 9.48n

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? (1 point) Responses n = 9.48t The vertical axis is referred to as n and is labeled number of sofas. The horizontal axis is referred to as t and is labeled as time left-parenthesis h right-parenthesis. The n axis is numbered from 0 to 210 with a step size of 30. The t axis is numbered from 0 to 70 with a step size of 10. The line begins just below left-parenthesis 0 comma 15 right-parenthesis and continues on through left-parenthesis 20 comma 200 right-parenthesis. n = 9.48 t Image with alt text: A The vertical axis is referred to as n and is labeled number of sofas. The horizontal axis is referred to as t and is labeled as time left-parenthesis h right-parenthesis. The n axis is numbered from 0 to 210 with a step size of 30. The t axis is numbered from 0 to 70 with a step size of 10. The line begins just below left-parenthesis 0 comma 15 right-parenthesis and continues on through left-parenthesis 20 comma 200 right-parenthesis. n = 0.11t The vertical axis is referred to as n and is labeled number of sofas. The horizontal axis is referred to as t and is labeled as time left-parenthesis h right-parenthesis. The n axis is numbered from 0 to 210 with a step size of 30. The t axis is numbered from 0 to 70 with a step size of 10. The line begins just to the left of left-parenthesis 25 comma 0 right-parenthesis and continues on through just below left-parenthesis 15 comma 70 right-parenthesis. n = 0.11 t Image with alt text: B The vertical axis is referred to as n and is labeled number of sofas. The horizontal axis is referred to as t and is labeled as time left-parenthesis h right-parenthesis. The n axis is numbered from 0 to 210 with a step size of 30. The t axis is numbered from 0 to 70 with a step size of 10. The line begins just to the left of left-parenthesis 25 comma 0 right-parenthesis and continues on through just below left-parenthesis 15 comma 70 right-parenthesis. t = 4.74n The vertical axis is referred to as n and is labeled number of sofas. The horizontal axis is referred to as t and is labeled as time left-parenthesis h right-parenthesis. The n axis is numbered from 0 to 210 with a step size of 30. The t axis is numbered from 0 to 60 with a step size of 10. The line begins just below left-parenthesis 0 comma 15 right-parenthesis and continues on through left-parenthesis 40 comma 200 right-parenthesis. t = 4.74 n Image with alt text: C The vertical axis is referred to as n and is labeled number of sofas. The horizontal axis is referred to as t and is labeled as time left-parenthesis h right-parenthesis. The n axis is numbered from 0 to 210 with a step size of 30. The t axis is numbered from 0 to 60 with a step size of 10. The line begins just below left-parenthesis 0 comma 15 right-parenthesis and continues on through left-parenthesis 40 comma 200 right-parenthesis. t = 9.48n

Answer 1

The correct equation that relates the number of sofas produced, n, with the amount of time, t, in hours is:

n = 9.48t

The correct graph of this equation is image:

C) The vertical axis is referred to as n and is labeled number of sofas. The horizontal axis is referred to as t and is labeled as time (h). The n axis is numbered from 0 to 210 with a step size of 30. The t axis is numbered from 0 to 60 with a step size of 10. The line begins just below (0, 15) and continues on through (40, 200).