Question

12. A company that manufactures radios first pays a start-up cost, and then spends a certain amount of money to manufacture each radio. If the cost of manufacturing radios is given by the function c(r) = 5.25r + 125, then the value 5.25 best represents:(A) The startup cost(B) The profit earned from the sale of one radio(C) The amount spent to manufacture each radio (D)The average number of radios manufactured

Answer 1

(C) The amount spent to manufacture each radio

Step-by-step explanation

We have that the cost of manufacturing the radios is given as:

c(r) = 5.25r + 125

where r is the number of radios

This is a linear function and the general form of a linear function is:

f(x) = mx + b

m represents the slope of the function or the rate of change of the function while b represents the intercept of the initial value of the function.

From the given function:

m = 5.25

b = 125

This means that 5.25 represents the rate of change of the function. We can also explain this to mean the value by which the value of r changes the function.

In other words, it is the amount spent to manufacture each radio.