Question

A career-placement test eliminates a profession when a person receives a score of 18 or less. If the score is calculated using the formula of the difference between double the number of items with a positive response and three times the number of items with a negative response, which graph represents the overall equation represented by this scenario (all points may not apply to the scenario)?

a) Linear equation
b) Quadratic equation
c) Exponential equation
d) Absolute value equation

Answer 1

The equation represents a linear equation with a negative slope and a y-intercept at a negative value.

Step-by-step explanation:

The equation that represents the scenario is a linear equation, represented by option a) in the graph choices. A linear equation is in the form y = mx + b, where m is the slope and b is the y-intercept. In this scenario, the equation is represented by the difference between double the number of items with a positive response and three times the number of items with a negative response:

y = 2x - 3y

where x is the number of items with a positive response and y is the number of items with a negative response. The graph of this equation will be a straight line with a negative slope, intersecting the y-axis at a negative value.