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cluponka [151]
3 years ago
6

A graph has time (years) on the x-axis and height (inches) on the y-axis. A line goes through points (2, 3) and (4, 6).

Mathematics
2 answers:
Natalija [7]3 years ago
5 0

Answer:

A, C, and D

Step-by-step explanation:

The rate of change will simply be the slope of the line, which we can find by taking the change in y and dividing that by the change in x:

slope = \frac{6-3}{4-2} =\frac{3}{2}

Thus, the slope is 3/2 = 1.5.

Since the slope remains constant throughout the graph, we know that A is correct. In addition because the points 0, 2, 4, and 6 are on the graph, the rate of change between any of the two points will still be the constant 1.5, making C and D correct as well.

So, we can choose A, C, and D.

Hope this helps!

Anarel [89]3 years ago
3 0

Answer:

The rate of change of a linear function is always the same.

The rate of change from 2 years to 4 years on the graph is 1.5 inches per year.

The rate of change from 0 years to 6 years on the graph is 1.5 inches per year.

Step-by-step explanation:

Slope = rate = (6 - 3)/(4 - 2) = 3/2

Slope of a straight line is constant hence the rate of change is also constant

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