maths for business 2024

This course is for business, and engineering students

DR. Abdulhadi Belkhirat

Exam 1

SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
Provide an appropriate response.
1) For the linear function f(x) = -5x + 5, find: (a) the slope and (b) the vertical axis intercept.
(c) Sketch the graph of f.

2) Sketch the graph of y = 3.

3) For the parabola y = f(x) = 2×2 – 4x – 6, find: (a) the vertex, (b) the y-intercept, and (c) the
x-intercepts.

4) Graph the function y = f(x) = x2 – 6x and indicate the coordinates of the vertex and
intercepts.

5) Solve the following system algebraically: 5u + v = -2
20u +2v = 1
6) Suppose the supply and demand equations for a manufacturer’s product are p =3/100q + 6
and p = -1/50q + 14, respectively, where q represents number of units and p represents price
per unit in dollars. Determine (a) the equilibrium quantity; (b) the equilibrium price.

7) (Bonus Question) Find the Point of Equilibrium for a product with Demand Equation and
Supply Equation as follows:
Demand: p = 300 – 8q
Supply: p =19/5q + 5

8) (Bonus Question) The population of a city is given by P = 100,000(1.03)t where t is the
number of years after 1988. Find the population in
(a) 1988
(b) 1989
(c) 1990.

9) MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
The slope of the line x = 2 is
A) 0.
B) 2.
C) -2.
D) 3.
E) not defined.