Kanaly writes articles for two different magazines. Let x represent the number of articles for Magazine A and y represent the number of articles for Magazine B. This scenario is modeled by the system of linear equations: x plus y is equal to 8 100 x plus 150 y is equal to 1 comma 000 Which of the following statements correctly interprets the x -intercepts of the equation x plus y is equal to 8 ?
Answer
A
The x -intercept represents Kanaly writing 8 articles for Magazine A and none for Magazine B.
B
The x -intercept represents Kanaly earning 800 dollars from Magazine A and none from Magazine B.
C
The x -intercept indicates that when 8 articles are written for Magazine B, the total number of articles written for Magazine A is 0.
D
The x -intercept represents Kanaly writing 10 articles for Magazine A and none for Magazine B.
Explanation
For the equation x + y = 8, the x-intercept occurs where y = 0. Substituting gives x + 0 = 8, so x = 8. Thus, the x-intercept means Kanaly writes 8 articles for Magazine A and none for Magazine B.
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