Question

graphs of proportional relationships ada math assessment
part a. interpret each plotted point in the graph.
(0, 0): the balloon rises
0
feet in
0
second(s).
(1, 5): the balloon rises
5
feet in
1
second(s).
(6, 30): the balloon rises
30
feet in
6
second(s).
part b. identify the unit rate and find the slope of the line.
the unit rate is

feet :

second(s).
the slope of the line is

.

Explanation:

Step1: Find unit rate from points

Unit rate = $\frac{\text{Total feet}}{\text{Total seconds}} = \frac{5}{1} = 5$

Step2: Calculate slope of the line

Slope $m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{30 - 0}{6 - 0} = 5$

Answer:

The unit rate is 5 feet : 1 second(s).
The slope of the line is 5.