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 )
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
Explanation: Denominators of a fraction can be equivalently written as their value to the power of negative 1. In this case the denominator expression itself has an exponent of 6, which taken to the power of negative one becomes -6: