Question

On a coordinate plane, the x-axis is labeled minutes and the y-axis is labeled Blocks. Line A goes through points (10, 4), (15, 12), and (20, 20). Line B goes through points (5, 8), (10, 16), (15, 24). Line C goes through points (5, 24), (15, 16), (20, 12).
The table shows Jose’s rate of bicycle riding.

A 2-column table with 3 rows. Column 1 is labeled Minutes with entries 5, 10, 15. Column 2 is labeled Blocks with entries 8, 16, 24.

Which line on the graph shows the proportional relationship in the table?

Line
on the graph shows the proportional relationship.

Answer 1

The proportional relationship given in the table is y = 1.6x, and line B shows this relationship.

What is a proportional relationship?

A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:

y = kx

In which k is the constant of proportionality.

The constant of proportionality, considering the points on the table, is given as follows:

$k = \frac{24}{15} = \frac{16}{10} = \frac{8}{5} = 1.6$.

Hence the equation is:

y = 1.6x.

Line B gives the same points as the table, hence it shows the proportional relationship.

More can be learned about proportional relationships at https://brainly.com/question/10424180

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