Concept explainers
The slope and the interpret the y-intercept of the graph.
Answer to Problem 35E
Slope: 0.7
Y-intercept: 12
The y-intercept of the graph means the length of the fingernails at 0 weeks.
Therefore, the starting length of the fingernails is 12 mm.
Explanation of Solution
Given information:
The slope-intercept form of a line is:
Formula used:
Calculation:
The slope-intercept form of a line is:
Where m is the slope of the line and b is its y-intercept.
Let x represent the independent variable, which is the number of weeks and y represent the dependent variable, which is the length of the fingernail.
Since the length of the fingernail increases by 0.7 min for every week, we can think of it as the constant rate of change or the slope at
Since the value of the function at 0 is 12, we can say that
The y-intercept of the graph means the length of the fingernails at 0 weeks. Therefore, the starting length of the fingernails is 12 mm.
This is the graph of the function with its y-intercept:
Conclusion:
The graph gets increases with its y-intercept:
Chapter 3 Solutions
BIG IDEAS MATH Algebra 1: Common Core Student Edition 2015
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