Question

15. Which of the following is true about the relationship in the table shown? Х 7 11 20 25 100 8.4 13.2 24 30 120 A. The table is non-proportional because it does not include the point (0,0). B. The table is non-proportional because the x-values do not increase at a constant interval. C. The table is proportional because all of the x and y-values are positive and increasing, D. The table is proportional because the ratio between y and x is constant.

Answer 1

The table is proportional because the ratio between y and x is constant at 1.2 for all given pairs, which indicates a directly proportional relationship.

The relationship in the table is determined by examining whether the ratio between the y-values and the x-values is constant.

To be considered directly proportional, every increase in the x-value should lead to a proportional increase in the y-value.

We can check this by dividing each y-value by the corresponding x-value.

For the given table (X = 7, 11, 20, 25, 100; Y = 8.4, 13.2, 24, 30, 120), the ratio y/x for each pair is 1.2. Since this ratio is constant across all pairs of values, the relationship is directly proportional.

Hence, the correct answer is D: The table is proportional because the ratio between y and x is constant.

The presence of the point (0,0), increasing at constant intervals, or all values being positive are not required for a direct proportion.

Answer 2

Step-by-step explanation:

To determine if the table is proportional or not, we need to find the ratio between x and y for each of the data. if it is constant, then it is proportional

Proportional relationship:

y = kx

k = constant of proportionality

k = y/x

for the x = 7, y = 8.4

k = 8.4/7 = 1.2

for x = 11, y = 13.2

k = 13.2/11 = 1.2

for x = 20, y = 24

k = 24/20 = 1.2

for x = 25, y = 30

k = 30/25

k = 1.2

when x = 100, y = 120

k = 120/100

k = 1.2

Since the ratio between y and x is the same for all, the table is proportional

The correct option:

The