Question

a balloon is released at ground level, and it rises into the air at a constant rate.
after 12 seconds the balloon is 180 feet above the ground.
complete the table to describe the proportional situation
type your answers in the blanks
x: 0, 1, 2, 3, 4, 5, 6
y: (blanks)
drag & drop: plot the points from the table.

Explanation:

Step1: Find the constant rate

The balloon rises 180 feet in 12 seconds. The rate $r$ is $\frac{180}{12} = 15$ ft/sec.

Step2: Define proportional relationship

Since height $y$ is proportional to time $x$, $y = 15x$.

Step3: Calculate y for x=0

Substitute $x=0$: $y = 15 \times 0 = 0$

Step4: Calculate y for x=1

Substitute $x=1$: $y = 15 \times 1 = 15$

Step5: Calculate y for x=2

Substitute $x=2$: $y = 15 \times 2 = 30$

Step6: Calculate y for x=3

Substitute $x=3$: $y = 15 \times 3 = 45$

Step7: Calculate y for x=4

Substitute $x=4$: $y = 15 \times 4 = 60$

Step8: Calculate y for x=5

Substitute $x=5$: $y = 15 \times 5 = 75$

Step9: Calculate y for x=6

Substitute $x=6$: $y = 15 \times 6 = 90$

Answer:

Completed table values for $y$ (from $x=0$ to $x=6$):
0, 15, 30, 45, 60, 75, 90

Points to plot on the graph:
$(0,0)$, $(1,15)$, $(2,30)$, $(3,45)$, $(4,60)$, $(5,75)$, $(6,90)$