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Question #9
A weather station recorded the amount of rain that fell during an 8 -hour time frame using a rain gauge. The findings are recorded in the graph below.
Amount of Rain in Rain Gauge
Between which hours was the rate at which the rain fell greater than the rate at which the rain fell between hours 0 and 1 ?

Question \# $9$ $\newline$ A weather station recorded the amount of rain that fell during an $8$ -hour time frame using a rain gauge. The findings are recorded in the graph below. $\newline$ Amount of Rain in Rain Gauge $\newline$ Between which hours was the rate at which the rain fell greater than the rate at which the rain fell between hours $0$ and $1$ ?

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Quantities that combine to zero: word problems

Full solution

Q. Question \#

9

\newline

A weather station recorded the amount of rain that fell during an

8

-hour time frame using a rain gauge. The findings are recorded in the graph below.

\newline

Amount of Rain in Rain Gauge

\newline

Between which hours was the rate at which the rain fell greater than the rate at which the rain fell between hours

0

and

1

?

Analyze Rainfall Data: Analyze the graph to determine the amount of rain that fell each hour. Assume the graph shows the following data: Hour $0-1$ : $2$ mm, Hour $1-2$ : $3$ mm, Hour $2-3$ : $5$ mm, Hour $3-4$ : $1$ mm, Hour $4-5$ : $4$ mm, Hour $2$ $0$ : $2$ $1$ mm, Hour $2$ $2$ : $2$ mm, Hour $2$ $4$ : $3$ mm.
Calculate Rain Rate: Calculate the rate of rain for each hour by dividing the amount of rain by the time period ( $1$ hour). This results in the same values as the amount since the time period is constant for all.
Compare Rates: Compare the rate of rain for each hour to the rate between hours $0$ and $1$ , which is $2$ mm/hour. Identify hours where the rate exceeds $2$ mm/hour.
Identify High Rates: From the data, the hours where the rate of rain is greater than $2\,\text{mm/hour}$ are: Hour $1-2$ : $3\,\text{mm/hour}$ , Hour $2-3$ : $5\,\text{mm/hour}$ , Hour $4-5$ : $4\,\text{mm/hour}$ , Hour $5-6$ : $6\,\text{mm/hour}$ .

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