Mip1502 Assignment 1 Answers 2026

MIP1502
ASSIGNMENT 1
ANSWERS 2026




MIP1502 ASSIGNMENT 1 ANSWERS 2026

, MIP1502 ASSESSMENT 1
Unique number: 636464
Due date: 21 April 2026


QUESTION 1


1.1.1 Conceptual difference of the symbol k in A vs B
- Statement A (5k^2 − 10 = 25): k is an unknown value that must satisfy the equation.
You are solving for a specific value (or values) of k.
- Statement B (y = 5k^2 − 10): k is the input (an independent variable) of a function
that gives y as the output. It describes a rule or relation, not a single solved value.


1.1.2 Which represents a 'specific value' and which represents a 'domain of input
values'?
- A represents a specific value (or values) of k that satisfy the equation.
- B represents the domain of input values (the set of all possible k that can be used
as inputs to the function y = 5k^2 − 10). In many contexts, this is all real numbers (or
the real numbers for which the function is defined).


1.2 Reversal error in Sam’s reasoning
- The correct interpretation: “There are six times as many students as professors”
means S = 6P (the number of students is six times the number of professors).
- Sam’s equation 6S = P implies P = 6S, i.e., professors are six times as many as
students, which reverses the relation.
- Test with numbers: suppose P = 2 professors. Then there should be S = 12
students. If you plug into Sam’s equation: 6S = P gives 6×12 = 2, which is 72 = 2
(false). Therefore, Sam’s equation does not reflect the intended sentence. The error
is a misinterpretation of the ratio direction.


1.3 The inequality 5 − 3x ≥ −4
1.3.1 Solve for x, showing inverse operations
- 5 − 3x ≥ −4
- Subtract 5 from both sides: −3x ≥ −9