Which situation can be modeled by the equation y = mx + b?
A.
The number of members (y) at an art club doubles every year (x).
B.
The time (y) it takes to climb up 160 steps depends on the number of steps climbed per minute (x).
C.
The monthly fee (y) for a tennis club that charges $15 per lesson depends on the number of lessons taken (x).
D.
The cost (y) of painting a square wall at a rate of $2 per square foot depends on the side length (x) of the square wall.
C. The monthly fee (y) for a tennis club that charges $15 per lesson depends on the number of lessons taken (x).
D. The cost (y) of painting a square wall at a rate of $2 per square foot depends on the side length (x) of the square wall.
The situation that can be modeled by the equation y = mx + b is option C:
C. The monthly fee (y) for a tennis club that charges $15 per lesson depends on the number of lessons taken (x).
In this situation, y represents the monthly fee for the tennis club, x represents the number of lessons taken, m represents the rate per lesson, and b represents any fixed costs or fees that are not dependent on the number of lessons.
The equation y = mx + b represents a linear relationship between the monthly fee and the number of lessons. The slope, m, represents the rate at which the fee increases per lesson, and the y-intercept, b, represents any additional fixed costs or base fee.
To get to this answer:
- Read each option and understand the relationship being described.
- Identify the variables involved in each option and how they relate to each other.
- Look for an equation in the form y = mx + b, where y represents the dependent variable, x represents the independent variable, m represents the rate or slope, and b represents the y-intercept or initial value.