Which situation can be modeled by the equation y = mx + b?
Select one:
a. The volume (y) of a cylindrical tank with a height of 2 feet depends on the radius (x) of the tank.
b. The total income (y) of a worker who earns 8 dollars per hour depends on the number of hours (x) worked.
c. The number of butterflies (y) in a population doubles every month (x).
d. The time (y) it takes a car to travel 100 miles depends on the speed (x) of the car.
a) V of cylinder = πr^2 h
for yours y = 4πx , matches y = mx + b if b=0
b) y = 8x , matches y = mx + b if b=0
c) y = 2^x , no match at all
d) y = 100/x , no match
Go sub to my yt Famous Devil971
The situation that can be modeled by the equation y = mx + b is option b. The total income (y) of a worker who earns $8 per hour depends on the number of hours (x) worked.
To understand why this option fits the equation y = mx + b, let's break down the equation components:
- "y" represents the dependent variable, which in this case is the total income earned by a worker.
- "x" represents the independent variable, which in this case is the number of hours worked by the worker.
- "m" represents the slope of the line, which indicates the rate at which the income changes with respect to the number of hours worked.
- "b" represents the y-intercept, which is the value of the dependent variable when the independent variable is zero. In this case, it would represent the income earned without working any hours.
Therefore, the equation y = mx + b can be used to model the relationship between the total income (y) of a worker and the number of hours (x) worked, as the income depends on the number of hours worked and the hourly wage rate.