Get Hip Records opened a line of credit to borrow money for a new recording studio. The function L(d) gives the number of months remaining to pay off the loan making a payment of d dollars each month. Identify the input variable of the function and describe in words what the variable represents in this model. Be detailed and include units. Identify the output variable of the function and describe in words what the variable represents in this model. Be detailed and include units.

Write a sentence to interpret L(1150)=67 in the context of this model. (Your sentence should be about paying off the loan and should not include words such as input, output, plug in, function, etc.).

What are the units for the derivative, L(d)?

Write a sentence to explain how we know the derivative of L(d) will be negative at any input.

Write a sentence to interpret L(1150)=4 in the context of this model. (Your sentence should be about paying off the loan and should not include words such as input, derivative, plug in, function, etc.).