Question

PLS HEEELLPP MEEEE
Relationship A has a greater rate than Relationship B. This table represents Relationship B. GRAPH DOWN BELOW
Which equation could represent Relationship A? Hours worked is represented by x and Amount paid is represented by y. Select each correct answer.
A. y = 16.4x
B. y = 14.9x
C. y = 15.4x
D. y = 15.2x 

Answer 1

Its D because if you plug in each # with x it will give you the output which is y.

Answer 2

The correct answers are A. and C.

The rate of from Table A can be calculated by finding the slope, which is $\frac{y_{2} - y_{1}}{ x_{2}- x_{1} }$. Therefore, the slope is $\frac{60.80-30.40}{4-2}$, which simplifies to 15.2.

The rate of Relationship B has to be more than 15.2. The slope of a line is the 'm' in the equation 'y=mx+b". In the answer choices, the 'm' values are 16.4, 14.9, 15.4, and 15.2. The only values that are greater than that are 15.4 and 16.4, so your answer is A and C.