Question

Student council is selling candy grams. They are using the formula f(c)=2.5c to determine the profit earned for the candy grams. They have to sell between 50 and 60 candy grams.what is the independent variable?How do we find Domain and Range?

Answer 1

Student council is selling candy grams.

They are using the following formula to find the profit earned for the candy grams.

`f(c)=2.5c`

They have to sell between 50 and 60 candy grams.

In the given formula, c is the independent variable.

An independent variable does not change or depend on any other variable.

On the other hand, profit is the dependent variable since the profit depends upon the number of candy grams sold.

When we substitute the value of the independent variable (c) into the above formula then we will get the corresponding profit dependent variable f(c)

Domain:

The domain is the values of the independent variable (c).

For the given case, it is given that c = 50 to 60 so we can write the domain as

`domain=(50,60)`

Range:

The range is the values of the dependent variable f(c).

Let us substitute the values of c into the formula to get values of f(c)

`\begin{gathered} f(50)=2.5(50)=125 \\ f(60)=2.5(60)=150_{} \end{gathered}`

Therefore, the range is

`range=(125,150)`