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: Define unit rate

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

Step2: Calculate unit rate

Use point $(1,5)$: $\frac{5}{1} = 5$

Step3: Define slope for proportional line

Slope = $\frac{y_2 - y_1}{x_2 - x_1}$

Step4: Calculate slope with points $(0,0)$ and $(1,5)$

$\frac{5 - 0}{1 - 0} = 5$

Answer:

The unit rate is $\boldsymbol{5}$ feet : $\boldsymbol{1}$ second(s).
The slope of the line is $\boldsymbol{5}$.