Question

One day after school, two students begin tracking the number of steps they took each minute while walking home. they each write a function, s(m), that they think can be used to track the amount of steps after m minutes. use the drop-down menus to explain why each function does or does not represent the amount of steps after m minutes.

Answer 1

The function S (m) = 105m represents
the amount of steps after m minutes.
What is a function?
A mathematical phrase, rule, or law that
establishes the link between an
independent variable and a
dependent variable (the dependent
variable) is known as a function.
We are given two functions.
Tim's function: S (m) = 105
This function cannot be used to find
the amount of steps taken after m
minutes.
Each minute, they take an additional
105 steps. Equal differences represent
a linear relationship.

Kristin's function: S (m) = 105m
This function can be used to find the
amount of steps taken after m minutes.
For every minute that passes, 105 more
steps are take.
Hence, the function S (m) = 105m
represents the amount of steps after m
minutes.