Answer to Question #132167 in Algebra for Siphokazi

Question

Consider the following examples in real-world situations that describe a correspondence between phenomena:

• The income tax a person pays depends on the person’s total income
• The number of years of experience on a job has a direct bearing on the salary received. The amount by which your savings will grow in a year depends on the interest offered by the bank.
• The area of a circle depends on the radius of the circle.
• The distance travelled in a car at a certain rate depends on the time travelled.



a) Express each situation in functional words. For example, the income tax is a function of the total income.
b) For each situation, indicate the dependent and independent variable.
c) Write the two variables as an ordered pair, and write the function using the notation

Answer 1

(a).

• Income tax is a function of total income
• the salary received is a function of years of a job experience
• savings amount is a function of bank interest
• area of a circle is a function of the radius of a circle
• distance travelled is a function of time travelled

(b)

• income tax is dependent, while total income is independent
• salary received is dependent, and years of job experience is independent
• savings amount is dependent, and bank interest is independent
• area of a circle is dependent, while radius of a circle is independent
• distance travelled is dependent, while time travelled is independent

(c)

Let the two variables i.e. the dependent and the independent variables be represented with x and y, so that the function of the two variables is given by

function f(x, y)