Question

Christy walks from her house to a bus stop that is 380 yards away a. If Christy is 10 yards from her house, how far is she from the bus stop? yards Preview b. If Christy is 183.4 yards from her house, how far is she from the bus stop? yards Preview c. Let the variable a represent Chrisy's varying distance from her house (in yards). As Christy walks from her house to the bus stop, the value of a varies from to d. How many values does the variable z assume as Christy walks from her house to the bus stop?

Answer 1

a) 370 yards

b) 196.6 yards

c) z ∈ (0, 380)

d) The variable z assumes infinite values, since there are infinite position numbers from z = 0 yards to z = 320 yards.

Explanation:

a) (380 - 10 ) yards = 370 yards

b) (380 - 183.4) yards = 196.6 yards

c) and d)

This situation can be described as a horizontal line that begins at point

P₁ = 0 yards (Christy's house) and ends at P₂ = 320 yards (Bus stop). Where a is the varying distance from her house, which can be calculated in the following way:

z = Final Position - Initial Position

As Christy walks from her house to the bus stop, the variable z assumes infinite values, since there are infinite position numbers from z = 0 yards to z = 320 yards.