Question

It's winter and the powder on Vail Mountain has never been better. You decide to measure the snowfall over a three hour period to determine the amount of snow that has fallen. The first hour you record a 5% increase in snowfall, the second hour you record a 8% increase in snowfall, and the third hour you record a 11% increase in snow fall. Over the three hour period, the snow has increased to a height of 17 inches. How high was the snow on the first hour just before it started to snow? Round your answers to the nearest tenth of an inch.
a.
13.3 inches
c.
13.7 inches
b.
13 inches
d.
13.5 inches



Please select the best answer from the choices provided


A
B
C
D

Answer 1

The best answer is Option A.

Step-by-step explanation:

Increased height of snow = 17 inches

First increase = 5% = 0.05 (Converting the percentages dividing by 100)

Second increase = 8% = 0.08

Third increase = 11% = 0.11

We will first start from where the snowfall has end, therefore,

Third increase = 11% of 17 inches

Third increase = $0.11*17=1.8\ inches$

Subtracting from original height of snow = 17 - 1.8 = 15.2 inches

Second increase = 8% of height before third increase

Second increase = $0.08*15.2 = 1.2\ inches$

Height before second increase = 15.2 - 1.2 = 14 inches

First increase = 5% of height before second increase

First increase = $0.05*14 = 0.7\ inches$

Height before first increase = 14 - 0.7 = 13.3 inches

The snow was 13.3 inches high before it started to snow.

The best answer is Option A.

Keywords: Subtraction, percentages

Learn more about subtraction at:

• brainly.com/question/8358304
• brainly.com/question/8540796

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