Relationship a has a greater rate than relationship b. the table represents relationship b.
which equation could represent relationship a?
choose all answers that are correct.
hours worked: 2 4 5 8
amount paid ($): 30.40 60.80 76 121.60
a. y=14.9
b. y=15.2
c. y=15.4
d. y=16.4

The equation that relationship A represents is required.

The required relationship is B.

Let be the hours worked and be the amount paid.

The ordered pairs are

Let us find the slope between some of the ordered pairs

The slopes are all equal.

So, the required relationship is B.

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the table given in the question represents relationship B. the function corresponding to relation B is :

y = 15.2 x, where x is the hours worked and y is the amount paid. So y is directly proportional to x.

Now the productivity rate is inversely proportional to the no. of hours worked, i.e as rate increases the no. of hours worked decreases, and amount paid increases.

Now since it has been given that relationship A has a greater rate than relationship B, so amount paid will also be greater for A than B.

so either option C or D is correct, as y =14.9x and y = 15.2x represent lesser or same amount paid as B.