Question

Connor (is not or is) correct because the rate of water flowing is (greater than or less than or equal to) the slope. Water is flowing at a rate that is (greater than or equal to or less than) 2 gallon per minutes ​

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Answer 1

C

Explanation:

Calculate the slope m using the slope formula

m =
`(y_(2)-y_(1) )/(x_(2)-x_(1) )`

with (x₁, y₁ ) = (0, 0) and (x₂, y₂ ) = (4, 2) ← 2 points on the line

m =
`(2-0)/(4-0)` =
`(2)/(4)` =
`(1)/(2)` → C

The slope indicates the rate of change.

Thus the water is flowing at
`(1)/(2)` gallon per minute

Answer 2

C

Connor is not correct because the rate of water flowing is equal to the slope. Water is flowing at a rate that is less than 2 gallon per minutes

Explanation:

Part A

from the graph we can see (0, 0), (2, 1), (4, 2)

y=1/2x, slope is 1/2

option C

Part B

Connor is not correct because the rate of water flowing is equal to the slope. Water is flowing at a rate that is less than 2 gallon per minutes ​