Question

C(x) = 7.25x + 1,500,

where
C(x)
is the total daily cost and x is the number of items manufactured.
(a)
Determine the independent and dependent variable.

Answer 1

C(x) = dependent variable

x = independent variable

Explanation:

A function means the dependent variable is determined by the independent variable(s).

In the given function, C(x) = 7.25x + 1,500:

The x represents the input value, which is the independent variable. The input value does not depend on other factors. The independent variable, x, can have different values. When x (input) changes, C(x) (output) also changes.

C(x) or y represents the output value, or the dependent variable. The output value, "C(x)," means that the output value depends on or is determined by the input value, x. For example, if your input value is 1, then:

C( 1 ) = 7.25( 1 ) + 1,500

C( 1 ) = 7.25 + 1,500

C( 1 ) = 1,507.25.