Question

Relationship A has a greater rate than Relationship B. These numbers represent Relationship B. Hours worked: ( 2 ) ( 4 ) ( 5 )  ( 8 ). Amount paid: ( 30.40 ) ( 60.80 ) ( 76 ) (121.60 ). Which equation could represent Relationship A? Hours worked is represented by x and Amount paid is represented by y. Select each correct answer.
( y = 14.9x) ( y = 16.4x ) ( y = 15.2x  ) ( y = 15.4x )

Answer 1

The data for relationship B is shown in this table.
Hours           Amount
Worked        Paid
-----------       --------------
     2             30.40
     4             60.80
     5             76
     8             121.60

A graph of the data is shown below.
It passes through (0,0).
Its slope is
(121.6 - 30.40) / (8 - 2) = 15.2
Therefore its equation is
y = 15.2x +0 = 15.2x

Answer: y = 15.2x