Respuesta :
Answer: second option. One lap around the mall is equal to about 2,425 steps
Explanation:
1) Show the data in an ordered form:
Laps Steps
0 1,875
1 4,300
3 6,725
4 9,150
5 11,575
2) The question states that the graph representing Debi’s data is a line. That means that i) the graph has a constant slope, and ii) the slope - intercept form of the equation that represents it is y = mx + b, where:
- y is the dependent variable: number of steps
- x is the independent variable: number of laps
- b is the y-intercept (value of y when x = 0)
- m is the slope (constant).
m = run / rise = change in y / change in x
3) Find the slope for some pairs of values:
- m = [ 4,300 - 1,875] steps / [1 - 0] laps = 2,425 steps/laps
- m = [6,725 - 4,300] steps / [2 - 1] laps = 2,425 steps / laps
- you will obtain the same for every pair of poins, m = 2,425 steps / laps
4) The meaning of the slope is the number of steps per one lap around the mall. Hence the answer is the second option: One lap around the mall is equal to about 2,425 steps
One lap around the mall is equal to about 2,425 steps. Then the correct option is B.
What is the linear system?
A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.
Debi walks laps around the mall for exercise during the winter months.
The table represents the number of steps recorded on her pedometer as she walks laps around the mall one day.
[tex]\begin{aligned} & \rm Laps \ \ \ & \rm Steps\\\\ &0 &1875\\ &1 &4300\\ &2 &6725\\ &3 &9150\\ &4 &11575\\\end{aligned}[/tex]
The relation between the number of steps will be linear to the number of laps. Then the slope will be
[tex]\rm m = \dfrac{4300-1875}{1-0}\\\\m = 2425[/tex]
One lap around the mall is equal to about 2,425 steps.
More about the linear system link is given below.
https://brainly.com/question/20379472
