T T
5
s
Problem 1.3
X
There is a proportional relationship between the number of
months a person has had a streaming service subscription
and the total amount of money they have paid for the
subscription
After 6 months, a user has paid $47.94.
100
Cost ($)
80
70
Determine the coordinates of three more points on this
line.
60
Time(m)
Cost (C)
50
(6, 47.94)
40
30
20
10
0
1
2 3
4
5 6
7 8 9 10
Time (months)

d

step-by-step explanation:

step-by-step explanation:

< xcy ≅ < xby

step-by-step explanation:

in δcax and δbax,

so, δcax ≅ δbax (side-angle-side or sas)

since δcax ≅ δbax, we can conclude < acx ≅ < abx

in δacy and δaby,

so, δacy ≅ δaby (side-angle-side or sas)

since δacy ≅ δaby, we can conclude < acy ≅ < aby

now,

< acy ≅ < aby

=> < acx + < xcy ≅ < abx + < xby

=> < acx + < xcy ≅ < acx + < xby   (since < acx ≅ < abx already proved above)

subtracting < acx from both sides, we get

< acx + < xcy -< acx ≅ < acx + < xby -< acx

cancelling out < acx and -< acx from both sides, we get

< xcy ≅ < xby (proved)