Evin is walking home from the museum. She starts 38 blocks from home and walks 2 blocks each minute. Evin's distance from home is a function of the number of minutes she has been walking.
(a) which variable is independent and which variable is dependent in this scenario?
(b) Fill in the table below for a variety of time values.
Time, t, in minutes 0 1 5 10
Distance from home, D, in blocks
Answer:
Explanation:
From the given information:
(a) which variable is independent and which variable is dependent in this scenario?
An independent variable is a variable that when two variable occurs in a particular event, one variable does not in any way affect the event of the other variable.
A dependent variable is a variable where on variable is dependent on the other variable.
From the question given;
time (t) in minutes is the independent variable
Distance D from home is the dependent variable
(b) Fill in the table below for a variety of time values.
Time, t, in minutes 0 1 5 10
Distance from home, D, in blocks
We are being told that Evin starts 38 blocks from home,
Then she is just starting, i.e from rest
Then; at time t = 0 , she is 38 block distance from home
However, if she walks 2 blocks each minute,
then after 1 minute , that will be 38 blocks - 2 blocks = 36 blocks distance from home.
If she walks for 5 minutes,
then she will be (38 - 2(5) ) blocks away from home
= 38 - 10
= 28 blocks away from home
If she walks for 10 minutes,
then she will be (38 -2(10)blocks away from home
= 38 - 20
= 18 blocks away from home.
Time, t, in minutes 0 1 5 10
Distance from home, D, in blocks 38 36 28 18