MAC2105 COLLEGE ALGEBRA EXAM Q & A 2024

MAC2105
College Algebra
EXAM Q & A
2024

,1. A company produces widgets at a cost of $5 per unit and sells them

for $8 per unit. The fixed cost of production is $1000. How many

widgets must the company sell to break even?


a) 250


b) 500


c) 750


d) 1000


Answer: b) 500


Rationale: The break-even point is when the revenue equals the cost.

The revenue is 8x, where x is the number of widgets sold. The cost is

5x + 1000, where x is the same as before. To find the break-even point,

we set 8x = 5x + 1000 and solve for x. This gives x = 500.




2. A quadratic equation has the form ax^2 + bx + c = 0, where a, b and

c are constants. What is the value of the discriminant of the equation

2x^2 - 3x + 4 = 0?

, a) -23


b) -7


c) 7


d) 23


Answer: a) -23


Rationale: The discriminant of a quadratic equation is b^2 - 4ac, where

a, b and c are the coefficients of the equation. In this case, a = 2, b = -3

and c = 4. Plugging these values into the formula gives (-3)^2 - 4(2)(4)

= -23.




3. A logarithmic function has the form y = log_b(x), where b is the

base and x is the argument. What is the inverse function of y =

log_2(x)?


a) y = 2^x


b) y = x^2


c) y = log_x(2)


d) y = sqrt(x)