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

y = 83.33 cm

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 =
`(13)/(3)` cm per minute

Therefore, equation will be,

h =
`(13)/(3)t`

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

y =
`(13* 19)/(3)`

y = 82.33 cm

Therefore, y = 82.33 cm is the answer.