Question

This table represents a linear function. x y 0 5 5 15 This graph represents another function.The greater unit rate of the two functions is . The greater y-intercept of the two functions is

Answer 1

The greater unit rate (slope) of the two functions is 2 (of the first function).

The greater y-intercept of the two functions is 6 (of the second function).

The unit rate (slope) of a linear function is the rise (or fall) in the independent variable for a unit change in the dependent variable.

When the linear function goes through the points (x₁, y₁) and (x₂, y₂), then the unit rate (slope) can be calculated as (y₂ - y₁)/(x₂ - x₁).

The first function goes through the points (0, 5) and (5, 15).

Thus unit rate (slope) of the first function = (15 - 5)/(5 - 0) = 2.

The second function goes through the points (0, 6) and (-4, 0).

Thus unit rate (slope) of the second function = (6 - 0)/(0 - (-4)) = 1.5.

Therefore, the greater unit rate (slope) of the two functions is 2 (of the first function).

The y-intercept of a linear function is the y-coordinate of the point at which the graph of the function intersects the y-axis. It is also shown as the point (0, b).

The y-intercept of the first function is 5, as it passes through the point (0, 5).

The y-intercept of the second function is 6, as it passes through the point (0, 6).

Therefore, the greater y-intercept of the two functions is 6 (of the second function).

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Answer 2

Answer:

2 and 6

Source:

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