Concept explainers
Describe what the intercepts mean in this situation.
Answer to Problem 3CYP
The x − intercept point (4, 0) and y − intercept point ( 0 , 248)
Explanation of Solution
Given: The table
Concept Used:
The x -intercepts are where the graph crosses the x -axis, and the y -intercepts are where the graph crosses the y -axis.
Then, algebraically,
- an x -intercept is a point on the graph where y is zero, and
- a y -intercept is a point on the graph where x is zero.
More specifically,
- an x -intercept is a point in the equation where the y -value is zero, and
- a y -intercept is a point in the equation where the x -value is zero.
Calculation:
Find the x − intercept, look for the point from the table when y = 0.
In the table there is a point (4, 0).
This means after 4 hours they reached the amusement park. Torres family has driven 248 miles in 4 hours.
Find the y − intercept, look for the point from the table when x = 0.
In the table there is a point (0,248).
This means the amusement park is 248 miles from Torres family house.
Thus, the x − intercept (4,0 ) and y − intercept ( 0 , 248)
Chapter 3 Solutions
Algebra 1
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