The correct question is;
Joey borrows $2400 from his grandfather and pays the money back in monthly payments of $200.
a. Write a linear function that represents the remaining money owed L(x) after x months.
b. Evaluate L(10) and interpret the meaning in the context of this problem.
A) L(x) = 200x + 2400; L(10) = 4400, This represents the amount Joey still owes his
grandfather after 10 months.
B) L(x) = -200x + 2400; L(10) = 400, This represents the amount Joey has paid his
grandfather after 10 months.
C) L(x) = 200x + 2400; L(10) = 4400, This represents the amount Joey has paid his
grandfather after 10 months.
D) L(x) = -200x + 2400; L(10) = 400, This represents the amount Joey still owes his
grandfather after 10 months.
Answer:
A) L(x) = 2400 - 200x
B) Option D is correct
Explanation:
A) We are told that Joey borrowed 2400.
Now he pays back in installments of 200 every month.
Thus for x number of months he would have paid 200x.
Thus,the linear function that represents the remaining money owed is;
L(x) = 2400 - 200x
B) L(10) = 2400 - (200 * 10)
L(10) = 2400 - 2000
L(10) = 400
Thus, after 10 months, Joey is owing 400.
So, looking at the given options, the correct one is option D.