Question

7. Fuji the woodworker sells cribs. His start-up

costs total $2000. Labor and material for
each crib cost $185. If the formula for his
Cost(C) based on (n) number of cribs is:
C=2000 + 185n , Tell what the rate of change
is and what it tells us about Fuji's expenses.

Answer 1

The rate of change is 185.

It tells us that Fuji's expenses increase by $185 for each additional crib made.

Explanation:

In a linear equation, the rate of change is the change in y over the change in x.

In this situation, that means how much the cost will change based on the amount of cribs that Fuji has to make.

Since labor and material costs for each crib cost $185, 185 is the rate of change.

For every additional crib that Fuji makes, the cost will increase by $185.

So, the rate of change is 185 and it tells us that Fuji's expenses increase by $185 for each additional crib made.