Fill in the Blank

Raymond (left) and Paula (right) use rain barrels to collect water off their roofs. Raymond's function is represented as an equation, while Paula's function is in the form of a graph. Answer the questions to compare the two functions that represent the heights of the water

Y = 3x + 6

Y line Water height (inches) 2 to 20
X line Time (hours) 1 to 5

Point 1
Y 8 x 1
Point 2
Y 12 x 2
Point 3
Y 16 x 3
Point 4
Y 20 x 4

*blank 1*

had more water in his/her barrel at the start of the rain because his/her *blank 2*

5

*blank 3*

Raymond had *blank 3*

was

Inches of water at the start of the rain.

Paula had

*blank 5*

inches of water at the start of the train.

b. The rate of water filling up was greater for *blank 6* slope for because his/her slope was *blank 7*

while the

*blank 8*

*blank 9*

Options for blank 1
A paula
B Raymond

Options for blank 2

A slope
B y-intercept

Options for blank 3
A less
B greater

Options for blank 4

A 1
B 3
C 4
D 6

Options for blank 5

A 3
B 4
C 1
D 5

Options for blank 6
A Raymond
B Paula

Options for blank 7

A 3
B 6
C 4
D 1

Options for blank 8

A Paula
B Raymond

Options for blank 9

A 1
B 6
C 3
D 4

1 answer

Here’s how to fill in the blanks based on the information provided:

  1. Blank 1: B Raymond
  2. Blank 2: B y-intercept
  3. Blank 3: A less
  4. Blank 4: D 6
  5. Blank 5: C 1
  6. Blank 6: A Raymond
  7. Blank 7: A 3
  8. Blank 8: B Raymond
  9. Blank 9: D 4

Putting it all together, we get:

Raymond (left) and Paula (right) use rain barrels to collect water off their roofs. Raymond's function is represented as an equation, while Paula's function is in the form of a graph. Answer the questions to compare the two functions that represent the heights of the water.

Blank 1 Raymond had more water in his/her barrel at the start of the rain because his/her blank 2 y-intercept.

Blank 3 Raymond had blank 3 less inches of water at the start of the rain.

Paula had blank 5 1 inches of water at the start of the train.

b. The rate of water filling up was greater for blank 6 Raymond because his/her slope was blank 7 3 while the blank 8 Raymond blank 9 4.

This summarizes the details accurately based on the function and values provided.