Nancy wants to make a graph to show the relationship between the temperature of water, in degrees Celsius, and the time, in minutes, for which water is heated. She plots the following points: (0, 50), (1, 60), (2, 70), (3, 80), (4, 90) She uses the following steps to plot the graph: Label origin as (0, 0). On x-axis, label Time in minutes. On y-axis, label Temperature in degrees Celsius. The scale on x-axis starts from 0 and goes up to 5 at intervals of 1. The scale on the y-axis starts from 0 and goes up to 200 at intervals of 50. Which of the following best describes the graph? It will not be spread out horizontally across the entire coordinate plane because in Step 4, Nancy selected an incorrect scale on the x-axis. It will not be spread out vertically across the entire coordinate plane because in Step 5, Nancy selected an incorrect scale on the y-axis. It will not be spread out horizontally across the entire coordinate plane because in Step 2, Nancy plotted time instead of temperature on the x-axis. It will not be spread out vertically across the entire coordinate plane because in Step 3, Nancy plotted temperature instead of time on the y-axis.

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30-01-2018
Mathematics

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Nancy wants to make a graph to show the relationship between the temperature of water, in degrees Celsius, and the time, in minutes, for which water is heated. She plots the following points: (0, 50), (1, 60), (2, 70), (3, 80), (4, 90) She uses the following steps to plot the graph: Label origin as (0, 0). On x-axis, label Time in minutes. On y-axis, label Temperature in degrees Celsius. The scale on x-axis starts from 0 and goes up to 5 at intervals of 1. The scale on the y-axis starts from 0 and goes up to 200 at intervals of 50. Which of the following best describes the graph? It will not be spread out horizontally across the entire coordinate plane because in Step 4, Nancy selected an incorrect scale on the x-axis. It will not be spread out vertically across the entire coordinate plane because in Step 5, Nancy selected an incorrect scale on the y-axis. It will not be spread out horizontally across the entire coordinate plane because in Step 2, Nancy plotted time instead of temperature on the x-axis. It will not be spread out vertically across the entire coordinate plane because in Step 3, Nancy plotted temperature instead of time on the y-axis.

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Edufirst Edufirst · Answer 1 · 2018-01-30T12:36:59+01:00

Answer: the second statement is which correctly describes the graph.

Explanation.

I have used the 5 points given and ploted the graph on Excel, following the same steps:

1) Label origin as (0, 0).

2) On x-axis, label Time in minutes.

3) On y-axis, label Temperature in degrees Celsius.

4) The scale on x-axis starts from 0 and goes up to 5 at intervals of 1.

5) The scale on the y-axis starts from 0 and goes up to 200 at intervals of 50.

You can see the result on the attached document.

Here I analyze the statements given to determine which best describes the graph.

1) It will not be spread out horizontally across the entire coordinate plane because in Step 4, Nancy selected an incorrect scale on the x-axis.

FALSE: the graph spreads out horizontally across the enitre coordinate plane and the selection of the scale on the x-axis was correct because it permited to show each number: 1, 2, 3, 4, and 5.

2) It will not be spread out vertically across the entire coordinate plane because in Step 5, Nancy selected an incorrect scale on the y-axis.

TRUE: as you can see on the first graph shown spreadsheet attaches, the graph only spreads out vertically across the interval 50 to 100. The selection of scale on the y-axis was incorrect. A better scale had been intervals of 10.

That is what the second graph on the same spreadsheet shows.

3) It will not be spread out horizontally across the entire coordinate plane because in Step 2, Nancy plotted time instead of temperature on the x-axis.

FALSE: it was correct to plot time on the x-axis.

4) It will not be spread out vertically across the entire coordinate plane because in Step 3, Nancy plotted temperature instead of time on the y-axis.

FALSE: it was correct to plot temperatuer on the y-axis.