Samantha’s parents give her $10 per week. For each chore that she does not complete, she must repay her parents $1. Which graph models Samantha’s allowance?
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Answer:
The correct option is 1.
Step-by-step explanation:
It is given that the Samantha’s parents give her $10 per week. For each chore that she does not complete, she must repay her parents $1.
In each graph x axis represents the number of incomplete chore and the y-axis represent the amount she have.
It means if se complete all chore, then she have the total amount $10. So the coordinate of y-axis is (0,10).
For each chore that she does not complete, she must repay her parents $1, it means if the number of incomplete chore is 1 then shen have,
[tex]10-1=9[/tex]
So the second point is (1,9).
So the function is in the form of,
[tex]y=10-x[/tex]
Where x is the number of incomplete chore.
the total amount will zero if the number of incomplete chore is 10, so the x-intercept is (10,0).
Since the value of amounts decrease by 1 unit for each incomplete chore, therefore the slope of the line must be -1.
According to the x and y-intercepts we can say that the option 1 is correct.