Concept explainers
a.
To use the given graph to determine after how many years there will be equal enrollment in Spanish and French classes.
a.
Answer to Problem 38E
6
Explanation of Solution
Given:
The above graph shows two linear relations for students enrolled in French and Spanish with years passing by.
The above graph shows two linear relations for students enrolled in French and Spanish with years passing by.
Now, to find out that in which year the enrollment for will be equal, the intersection of both the graph has to be observed.
That point of intersection will be common for both the graphs.
Hence the point of intersection is:
No. of student enrolled in French language = 301
No. of student enrolled in Spanish language = 301
This date will occur after 6 years from when the data has been recorded.
Conclusion:
Hence, the required answer is 6 years.
b.
To justify estimation of subpart (a)
b.
Explanation of Solution
Given:
Also,
Here x has been considered as the years from the initial point.
Calculation:
Number of enrollment for French according to the table
Number of enrollment for French according to the table
Also,
Calculation:
Now, to find the solution:
Hence, after solving the equation, it is justified that, the estimate made from the graph in part(a)
was correct.
Chapter 1 Solutions
BIG IDEAS MATH Algebra 1: Common Core Student Edition 2015
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