Question

You use a garden hose to fill a wading pool. If the water level rises 13 centimeters every 3 minutes and you record the data point of ​(19,y), what is the value of​ y? Use slope to justify your answer.

Answer 1

Answer:

y = 83.33 cm

Step-by-step explanation:

Relation between the rise in water level (h) and duration (t) to fill the water in the garden hose is proportional.

h ∝ t

h = kt

Here, k = Proportionality constant

If the rise in the water level of the hose = 13 cm

Time to fill the water up to 13 cm = 3 minutes

13 = 3k

k = $\frac{13}{3}$ cm per minute

Therefore, equation will be,

h = $\frac{13}{3}t$

If a data point (19, y) lies on the graph,

y = $\frac{13\times 19}{3}$

y = 82.33 cm

Therefore, y = 82.33 cm is the answer.