for 8 days of very hot weather, the water level in a lake dropped 3 inches per day. on the ninth day, storms raised the level 6
2 answers:
Answer:
During the span of 9 days, the water level of lake decreased by 18 inches.
Step-by-step explanation:
We are given the following information in the question:
For 8 hot days, the water level decreased in a lake at rate of 3 inches per day.
Then on day 9, there was a storm that increased the water level by 6 inches.
Total drop in water level in lake =
Expression for the change in the water level =
Hence, during the span of 9 days, the water level of lake decreased by 18 inches.
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Answer
a) C
b) B
c) C, E
d) 15.5
e) 0.7
f) 67.7
Step-by-step explanation
a) A linear equation can be written as where
is the slope and
is the intercept on the
-axis. The slope describes how
changes when
changes. A negative value means the it is a decreasing change. In our case,
is
and
is
. Thus, the slope of the equation is
. This means that the area of glacier is decreasing by
every year since 2000.
b) The -intercept (= 16.2
) represents the area covered when
. But
starting from year 2000. This intercept then represents the area covered by glacier in the year 2000. Therefore, the area covered by glacier in 2000 was 16.2
.
c) means the area covered after year 2000. Setting it to 12 means the area covered after
years is 12
).
is therefore the number of years since 2000 that the total area covered will be 12
).
d) to 1 decimal place.
e) The term involving represents the disappearing area. In 12 years, the disappeared area is
to 1 decimal place.
f)
years to 1 decimal place.
Answer:
x=2.
Step-by-step explanation:
It is given that points A, B, and C are collinear. Point B is between A and C.
Using segment addition property, we get
It is given that AC = 3x + 3, BC = 3, and AB = 2x + 2.
Isolate variable terms.
Therefore, the value of x is 2.