Question

5.6 linear functions in the real world
a cab company charges a $5 boarding fee in addition to its meter which is $3 for every mile. write an equation represent this situations where the independent variable (x) is miles traveled and the dependent variable (y) is cost of the cab ride. the rate of change is $3 per mile and the starting amount before the cab ever moves is $5.

Explanation:

Step1: Recall linear - function formula

The general form of a linear function is $y = mx + b$, where $m$ is the slope (rate of change) and $b$ is the y - intercept (starting amount).

Step2: Identify values for $m$ and $b$

The rate of change (cost per mile) is $m = 3$, and the starting amount (boarding fee) is $b = 5$.

Step3: Write the linear equation

Substitute $m = 3$ and $b = 5$ into $y=mx + b$. We get $y = 3x+5$.

Answer:

$y = 3x + 5$