Section: Math 0 Likes
The cost of a hotel room, y dollars, based on the rating, x, provided (September 2023 - G01)
The cost of a hotel room, y dollars, based on the rating, x, provided by a travel agency is modeled by the linear equation y=2.34x+67.75. Which of the following statements describes the rate of change of this model?
Alternatives:
F. For every increase of 1.00 in the rating, the cost increases by $2.34.
G. For every increase of 1.00 in the rating, the cost increases by $67.75.
H. For every increase of 2.34 in the rating, the cost increases by $1.00.
J. For every increase of 2.34 in the rating, the cost increases by $67.75.
K. For every increase of $1.00 in the cost, the rating increases by 2.34.
Solution
Correct answer: F. For every increase of 1.00 in the rating, the cost increases by $2.34.
The rate of change of a linear equation in the form y = mx + b represents how one variable changes concerning the other variable. In this equation y = 2.34x + 67.75, the coefficient of x is 2.34, which represents the rate of change of y concerning x.
Exam Edition: September 2023 - G01
Exam Year: 2023
Related topics: Linear Equations, Rate of Change, Interpretation of Slope