Mathematics
MIP1502
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, Question 1:
(a) Express each situation in functional words. For example, the income tax is a function
of the total income.
1. The income tax is a function of the total income.
2. Salary received is a function of the number of years of experience.
3. The amount saved (amount saved growth) is a function of the interest offered by the bank.
4. The area of a circle is a function of the radius of the circle.
5. The distance travelled in a car at a certain rate is function of time travelled.
(b) For each situation, indicate the dependent and independent variables.
Dependent variable Independent variable
1. Income tax Total income
2. Salary received Number of years of experience
3. Savings growth Interest
4. Area of the circle Radius of the circle
5. Distance travelled Time travelled
(c) Write the two variables as an ordered pair, and write the function using the notation
𝑦=𝑓(𝑥).
(Independent variable = 𝒙; Dependent variable = 𝒚)
Independent variable Dependent (𝒙; 𝒚) 𝒚=𝒇(𝒙)
variable
1. Total income Income tax (i; t) 𝑇=𝑘𝐼
2. Number of years of Salary received (e; s)
experience
3. Interest Savings growth (i; g) G=𝐼+𝑃
4. Radius of the circle Area of the circle (r; c) C=𝑅2
5. Time travelled Distance travelled (𝑡; 𝑑) 𝐷=𝑠𝑡
2
MIP1502
_____________________________________________
Page | 1
, Question 1:
(a) Express each situation in functional words. For example, the income tax is a function
of the total income.
1. The income tax is a function of the total income.
2. Salary received is a function of the number of years of experience.
3. The amount saved (amount saved growth) is a function of the interest offered by the bank.
4. The area of a circle is a function of the radius of the circle.
5. The distance travelled in a car at a certain rate is function of time travelled.
(b) For each situation, indicate the dependent and independent variables.
Dependent variable Independent variable
1. Income tax Total income
2. Salary received Number of years of experience
3. Savings growth Interest
4. Area of the circle Radius of the circle
5. Distance travelled Time travelled
(c) Write the two variables as an ordered pair, and write the function using the notation
𝑦=𝑓(𝑥).
(Independent variable = 𝒙; Dependent variable = 𝒚)
Independent variable Dependent (𝒙; 𝒚) 𝒚=𝒇(𝒙)
variable
1. Total income Income tax (i; t) 𝑇=𝑘𝐼
2. Number of years of Salary received (e; s)
experience
3. Interest Savings growth (i; g) G=𝐼+𝑃
4. Radius of the circle Area of the circle (r; c) C=𝑅2
5. Time travelled Distance travelled (𝑡; 𝑑) 𝐷=𝑠𝑡
2
