Respuesta :
Answer:
a) 231 yards
b) 55.2 yards
c) 0 yards to 260 yards
d) Infinite values
Explanation:
This situation can be described as a horizontal line that begins at point [tex]P_{1}=0 yards[/tex] (Meredith's house) and ends at point [tex]P_{2}=260 yards[/tex] (Bus stop). Where [tex]x[/tex] is the varying distance from her house, which can be calculated in the following way:
x=Final Position - Initial Position
or
[tex]x=x_{f} - x_{i}[/tex]
a) For the first case Meredith is at position [tex]x_{i}=29 y[/tex] and the bus stop at position [tex]x_{f}=260 y[/tex]. So the distance Meredith is from the bus stop is:
[tex]x=260 y - 29 y=231 y[/tex]
b) For the second case the initial position is [tex]x_{i}=204.8 y[/tex] and the final position [tex]x_{f}=260 y[/tex]. Hence:
[tex]x=260 y - 204.8 y=55.2 y[/tex]
c) If we take Meredith's initial position at her house [tex]x_{i}=0 y[/tex] and her final position at the bus stop [tex]x_{f}=260 y[/tex], the value of [tex]x[/tex] varies from 0 yards to 260 yards.
d) As Meredith walks from her house to the bus stop, the variable [tex]x[/tex] assumes infinite values, since there are infinite position numbers from [tex]x=0 yards[/tex] to [tex]x=260 yards[/tex]
The answers to the possible distance covered by Meredith at the various distances from her house are;
A) distance = 231 yards
A) distance = 231 yardsB) distance = 55.2 yards
A) distance = 231 yardsB) distance = 55.2 yardsC) x will vary from 0 m to 260 m i.e 0 ≤ x ≤ 260
A) We are told that meredith walks from her house to a bus stop that is 260 yards away.
After walking, she is now 29 yards from her house. This means that she has walked a total of 29 yards from her house.
Distance left to reach bus stop = 260 - 29 = 231 yards
B) We are told that Meredith is now 204.8 yards from her house. This means that she has walked a total of 204.8 yards from here house. Thus;
Distance left to reach bus stop = 260 - 204.8 = 55.2 yards.
C) This question is basically asking for all the possible values that Meredith could have walked from her house to the bus stop.
Since she starts from her house at 0m, then it means that if the bus stop is 260 m away, then if x is the possible distance, we can say that x will vary from 0 m to 260 m i.e 0 ≤ x ≤ 260
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