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Function A and Function B are linear functions. Function A y = ⅔x + 5 Function B [Graph of a line passing...

Function A and Function B are linear functions.
Function A
y = ⅔x + 5
Function B
[Graph of a line passing through (0, 3) and (3, 7).]
Select all the statements that are true.
The slope of Function A is less than the slope of Function B.
The slope of Function A is equal to the slope of Function B.
The y-value of Function A when x = 3 is less than the y-value of Function B when x = 3.
The y-value of Function A when x = 3 is greater than the y-value of Function B when x = 3.

Answer

Select only the first statement: The slope of Function A is less than the slope of Function B.

Function A has slope 2/3. Function B has slope (7 − 3)/(3 − 0) = 4/3, so 2/3 < 4/3. At x = 3, both functions have y = 7, so neither the third nor the fourth statement is true.

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