Question

The cost of producing bicycles at a manufacturing facility is $38 per bicycle plus the fixed costs of running the facility each day. What type of function should be used to model the cost of running the facility each day, and why should this type of function be used? A. exponential growth; because the function grows by a fixed percentage rate greater than 100% exponential decay, because the function decreases by a fixed percentage rate B. less than 100% C. linear growth; because the rate of growth is constant D. linear decay; because the rate of growth is constant and negative

Answer 1

ANSWER:

C. linear growth; because the rate of growth is constant

STEP-BY-STEP EXPLANATION:

With the data supplied by the statement we can establish the following function:

$\begin{gathered} y=38x+b \\ y=\text{ cost of producing bicycles} \\ x\text{ = number of biclycles} \\ b=\text{ fixed cost } \end{gathered}$

We can see that it is a linear function that is increasing, since rate of growth is constant and positive