Martha is braiding a necklace for her friend. The graph below shows the necklace's length with respect to the time Martha has spent braiding. Select the equation that represents the proportional relationship shown in the graph. A. L = 20t B. L = 1/10t C. L = 1/20t D. L = 10t

Mathematics · Middle School · Thu Feb 04 2021

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 To determine which equation represents the proportional relationship shown in the graph, we would need information about the rate at which Martha is braiding the necklace—specifically, how much length is added per unit of time. However, you did not provide the graph mentioned in your question. Without the graph, I am unable to precisely determine the correct equation.

However, we can analyze the given equations to understand what they imply: - Equation A (L = 20t) suggests that for every 1 unit of time, 20 units of length are added to the necklace. - Equation B (L = 1/10t) suggests that for every 1 unit of time, 1/10 unit of length is added. - Equation C (L = 1/20t) implies that for every 1 unit of time, 1/20 unit of length is added. - Equation D (L = 10t) suggests that for every 1 unit of time, 10 units of length are added.

To identify the correct equation from the graph, you would typically look for two things: (1) the point where the graph crosses the y-axis (the y-intercept) — which, in a proportional relationship, should be at the origin (0,0) — and (2) the slope of the line, which represents the rate at which the necklace is being lengthened. The slope can be determined by taking any two points on the line and dividing the change in length by the change in time (rise over run).

If you can provide the graph or describe it (for instance, where it crosses the axes and the slope of the line), I could give you the correct equation.