Fill in the Blank

Question

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

Use the provided choices

Answer 1

Here are the filled blanks using the provided choices:

blank 1
B Raymond

blank 2
B y-intercept

blank 3
B greater

blank 4
D 6

blank 5
A 3

blank 6
A Raymond

blank 7
B 6

blank 8
A Paula

blank 9
C 3

Putting it all together, we have:

Raymond (left) had more water in his/her barrel at the start of the rain because his/her y-intercept was 6 inches of water at the start of the rain. Paula had 3 inches of water at the start of the rain.

b. The rate of water filling up was greater for Raymond because his/her slope was 6, while the slope for Paula was 3.