"13" or "more than 13" rides will make the weekly unlimited pass more cost effective. A further solution is provided below.
The given values are:
The Fare after discount will be:
=
=
=
= ($)
hence,
In $32, the minimum number of rides will be:
=
=
or,
= 13
Learn more:
The dimensions of the image are twice the dimensions of the preimage,
which indicates that the transformation is a dilation.
Reasons:
The transformation applied to ΔABC = T
The image of ΔABC following the transformation, T = ΔA'B'C'
The perimeter of ΔA'B'C' = Twice the perimeter of ΔABC
Therefore, we have;
A'B' + B'C' + A'C' = 2 × (AB + BC + AC)
Which gives
A'B' + B'C' + A'C' = 2·AB + 2·BC + 2·AC
By similar triangles, we have the ratio of corresponding sides as follows;
Which gives;
A'B' = 2·AB
Therefore;
Learn more about dilation transformation here: