Question

Debi walks laps around the mall for exercise during the winter months. The table represents the number of steps recorded on her meter as she walks laps around the mall one day. Which statement is true about the graph of the line representing Debi’s data?

a. Debi walks 1,875 steps per lap around the mall.
b. One lap around the mall is equal to about 2,425 steps.
c. One lap around the mall is equal to 4,300 steps.
d. Debi walks 6,175 steps per lap around the mall.

Laps / Steps
0 / 1,875
1 / 4,300
2 / 6,725
3 / 9,150
4 / 11,575

Answer 1

One lap around the mall is equal to about 2,425 steps.

Explanation:

Answer 2

The correct option will be: b. One lap around the mall is equal to about 2,425 steps.

Explanation:

Here, we will just find the slope of the line representing Debi’s data. For that, we will take any two data from the table in form of point like
`(x,y)`

Lets take two points as
`(0, 1875)` and
`(2, 6725)`

Formula for finding the slope is:
`m= (y_(2)-y_(1))/(x_(2)-x_(1))` , where
`(x_(1), y_(1))` and
`(x_(2), y_(2))` are two given points.

Here,
`x_(1)= 0 , y_(1)= 1875 , x_(2)=2 , y_(2)=6725`

So, plugging these values into the above formula, we will get......

`m= (6725-1875)/(2-0)=(4850)/(2)=2425`

That means, one lap around the mall is equal to about 2,425 steps.