Question

The table and graph represent the price of hand soap based on the number of fluid ounces.Hand soap brand a; fluid ounces, price. 4, $1.31. 8, $2.62. 16, $5.24. 20, $6.55.Which statement regarding the cost in relation to fluid ounces is true?AnswerABoth the table and graph represent non-proportional relationships, because neither the table nor graph include the ordered pair (0, 0).BBoth the table and graph represent proportional relationships, because both the table and graph include the ordered pair (0, 0).COnly the graph represents a proportional relationship, because only the graph includes the ordered pair (0, 0).DOnly the table represents a proportional relationship, because only the table includes the ordered pair (0, 0).

Answer 1

We will first check if the table represents a proportional relationship.

y ∝ x

y = kx

where k is the constant of proportionlity.

From the table x=4 and y=1.31

Substitute and solve for k

1.31=4k

k=0.3275

substitute k=0.3275 into y=kx

y =0.3275x

Observe that, when you substitute any value of x in the abpve, you will get the corresponding y.

Substitute x=8

y = 0.3275(8) = 2.62

Hence, the table represents a proportional relationship.

Next is to check the graph.

From the graph, the y-intercept is 2, and not zero and hence it cannot be a proportional relationship.

Therefore, the correct option is D.Only the table represents a proportional relationship, because only the table includes the ordered pair (0, 0).