Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

model 2 – graphs for copper data graph a graph with y - axis labeled ma…

Question

model 2 – graphs for copper data

graph a
graph with y - axis labeled mass (g) (ranging from 0 to 140) and x - axis labeled group number (ranging from 0 to 8), data points labeled copper samples

graph b
graph with y - axis labeled mass (g) (ranging from 0 to 140) and x - axis labeled volume (cm³) (values: 2, 6, 10, 8, 14, 4, 12), bar graph labeled copper samples

graph c
graph with y - axis labeled mass (g) (ranging from 0 to 140) and x - axis labeled volume (cm³) (ranging from 0 to 16), scatter plot labeled copper samples

  1. identify each of the graphs in model 2 as a bar graph or a scatter plot.
  1. one of the data points in graph b indicates that a volume of 8 cm³ has a mass of 80 g. which other graph in model 2 shows this same data?
  1. of the three graphs in model 2, which illustrates the relationship between the variables that you stated in question 7 most clearly?

Explanation:

Response
Question 8
Brief Explanations
  • Graph A: It has individual points plotted with no bars, so it's a scatter plot (plots individual data points).
  • Graph B: It has bars representing data for different volumes, so it's a bar graph (uses bars to show data).
  • Graph C: It has individual points plotted (mass vs volume as individual points), so it's a scatter plot.
Brief Explanations

We look for the graph with volume (x - axis) and mass (y - axis) where volume = \(8\space cm^3\) and mass = \(80\space g\). Graph C has x - axis (volume) and y - axis (mass). Checking Graph C, when volume is \(8\space cm^3\), the mass point is at \(80\space g\), which matches the data from Graph B.

Brief Explanations
  • Graph A: Plots mass vs group number (not the relationship between mass and volume).
  • Graph B: Is a bar graph, which is not good for showing a continuous relationship between two quantitative variables (mass and volume).
  • Graph C: Plots mass (y - axis) vs volume (x - axis) as a scatter plot, and the points should show a linear (proportional) relationship, making it clear to see the relationship between the two variables.

Answer:

  • Graph A: Scatter Plot
  • Graph B: Bar Graph
  • Graph C: Scatter Plot
Question 9