Question

The tropical giant bamboo can grow 11.9 feet in 3 days what is the rate of the growth in inches per hour round your answer to the nearest hundredth and show that your answer is reasonable

Answer 1

This is a proportion problem so you set up related units to convert them:

`(11.9ft)/(3 days)}` ×
`(1 day)/(24 hr)}` ×
`(12in)/(1ft)}` =
`(42.8in)/(72hr)`

Since it is over 72hr, divide 42.8in by 72hr = 1.98333333...

So the plant grows about 2 in per hour

Answer 2

1.98 inches /hr

Explanation:

Growth of tropical giant bamboo in 3 days = 11.9 feet

Growth of tropical giant bamboo in 1 day =
`(11.9)/(3)`

=
`3.96`

So, The rate of the growth is 3.96 feet/day

Now we are supposed to convert the rate into inches /hour

1 inch = 12 inches

1 day = 24 hours

So, Rate of the growth in inches per hour =
`3.96 * (12)/(24)`

Rate of the growth in inches per hour =
`1.98`

Hence the rate of the growth in inches per hour is 1.98 inches /hr