Question

The parameters of a linear function are the slope and the y-intercept

A cab company's fare can be modeled with the linear function f(m) = 5+3m, where m represents the number of miles for the riders trip.


Describe the parameters and what they represent in this context.

Answer 1

see the explanation

Explanation:

we know that

A linear function in slope intercept form is equal to

`f(x)=mx+b`

where

m is the slope or unit rate

b is the y-intercept

x is the independent variable or input value

f(x) is the dependent variable or output value

In this problem we have

`f(m)=5+3m`

where

m is the number of miles

f(m) is the cab company's fare in dollars

we have that

In this context

Slope

The slope or unit rate is equal to the cost per mile for the riders trip

The slope is $3 per mile

Y-intercept

The y-intercept is the cost of the riders trip when the number of miles is equal to zero, also is called the initial value.

The y-intercept is $5