Question

During last night’s snowfall, it snowed 7 inches every 3 hours.

Using i=inches and h=hours, write a proportion that shows the relationship between the number of inches it snows and the number of inches.
Rewrite the proportion as an equation to represent the number of inches it snows in terms of the number of hours.
What is the constant of proportionality for the number of inches it snows in terms of the number of hours?

Answer 1

1) The proportion is
`(i)/(h)= (7)/(3)`

2) Required equation is
`i= (7)/(3)h`

3) Constant of proportionality is
`P=(7)/(3)`

Explanation:

Given : During last night’s snowfall, it snowed 7 inches every 3 hours.

Using i=inches and h=hours

To find :

1) Write a proportion that shows the relationship between the number of inches it snows and the number of inches.

The snowed is 7 inches in every 3 hours

The proportion is
`(i)/(h)= (7)/(3)`

2) Rewrite the proportion as an equation to represent the number of inches it snows in terms of the number of hours.

Required equation is
`i= (7)/(3)h`

3)What is the constant of proportionality for the number of inches it snows in terms of the number of hours

The constant of proportionality in required equation

`i= (7)/(3)h` is
`P=(7)/(3)`