Answer to Question #225037 in Math for Shenice

Question

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

between phenomena:

• The total cost for repairing a cell phone is R320 for parts plus R50 per hour for labor. • Siphokazi sells 70% alcohol-based hand sanitisers. She earns R230 a week and receives a commission of 15% of her sales. • 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. • A rental van costs R230 per day plus R4,30 per kilometer

(a) Express each situation in functional words. For example, the income tax is a function of the total income. (8)

(b) For each situation, indicate the dependent and independent variables. (5)

(c) Write the two variables as an ordered pair, and write the function using the notation 𝑦 = (𝑥). (5)

(d) Explain the meaning of a function in your own words. Illustrate with your own specific example.