AI Math Solver
Resources
Questions
Pricing
Login
Register
Home
>
Questions
>
Estimate Age Difference Between 150cm Diameter Eastern Hemlock and Giant Redwood from Scatter Graph
Mathematics
Grade 8 (Junior High School)
Question Content
The scatter graph below shows data about some eastern hemlock trees and some giant redwood trees in a forest. Estimate the difference in age between a 150 cm diameter eastern hemlock and a 150 cm diameter giant redwood.
Correct Answer
300 years
Detailed Solution Steps
1
Step 1: Locate 150 cm on the horizontal (trunk diameter) axis of the scatter graph.
2
Step 2: Move vertically up from 150 cm to the solid line (eastern hemlock). Read the corresponding age on the vertical axis: this is 400 years.
3
Step 3: Move vertically up from 150 cm to the dashed line (giant redwood). Read the corresponding age on the vertical axis: this is 100 years.
4
Step 4: Calculate the difference in age by subtracting the two values: 400 - 100 = 300 years.
Knowledge Points Involved
1
Scatter Graph Interpretation
A scatter graph uses points to display values for two numerical variables. For this problem, it plots tree trunk diameter (independent variable) against tree age (dependent variable). Solid/dashed lines of best fit are used to estimate values that fall within or extend beyond the measured data points.
2
Line of Best Fit
A line of best fit is a straight line drawn through the center of a group of data points on a scatter graph. It is used to represent the general trend of the data and make predictions or estimates for unmeasured values, like the age of a tree with a specific trunk diameter.
3
Estimation from Graphs
This involves using the scale of a graph's axes to read approximate values corresponding to a given data point. For this problem, it means matching a horizontal axis value (trunk diameter) to a vertical axis value (age) using the provided lines of best fit.
4
Numerical Difference Calculation
This is the basic arithmetic operation of subtracting two quantities to find their gap. In this context, it is used to find the difference in estimated ages between the two tree species.
Loading solution...
