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Zanzabum
3 years ago
6

A sand dune stands 5 feet above sea level. The hill is eroding at a rate of 1 foot per 20 years. Let y represent the height of t

he sand dune after x years. Which equation represents the situation?
Mathematics
2 answers:
Soloha48 [4]3 years ago
7 0

Answer:

y=-\frac{1}{20}x+5

Step-by-step explanation:

Here we are given that the present height of the sand dune is 5 ft and it is eroding 1 ft in every 20 years. If x represent the number of years and y represents the height of the sand dune. Hence we can consider the coordinates be (0,5) (20,4) (40,3) (60,2) (80,1) (100,0)

Let us evaluate the equation of the line plotted on these coordinates

Here we can see the y intercept is 5

Let us find the slope

m=\frac{y_2-y_1}{x_2-x_1}\\m=\frac{5-4}{0-20}\\m=\frac{1}{-20}\\m=-\frac{1}{20}

The equation in slope intercept form is given as

y=mx+c

where c is y intercept i.e. 5

y=-\frac{1}{20}x+5

Hence this is our required equation

avanturin [10]3 years ago
4 0
y = -1/2x + 5 should be your equation because it is 5 ft above sea level and its eroding, or going down, 1 ft per 20 years. So every year, the sand dune erodes 1/20 ft more.

Hope this helps!
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77julia77 [94]

Answer:

perimeter = 20 m

Step-by-step explanation:

given the area of the square = 25 m² and

area of a square = s² ( where s is the side length ), then

s² = 25 ( take the square root of both sides )

s = \sqrt{25} = 5 ← length of side

perimeter = 4s = 4 × 5 = 20 m


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3 years ago
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Murljashka [212]
The y intercept is 0.025.
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3 years ago
bob travels from inglewood to Anytown; a distance of 20km. he walks 800m and cycles the rest of the way. What percentage of the
Semmy [17]
We can convert 20km to 20,000m. Then, we can subtract 800m (walking distance) from 20,000m which would result in 19,200m. Then we can put 19,200m and 20,000m as a fraction (19200/20000). Before we can multiply it by 100 to make it in the percentage form, we can get rid of 2 zeroes for both number making it 192/200 and then further simplifying it to 24/25 by dividing both numbers by 8. Finally to get the percentage we can multiply 24 and 100 (2400) and then divide the result (2400) by 25. The final answer is 2400/25=96 meaning he cycled 96% of the journey and walked 4% of the journey (100-96=4).
5 0
3 years ago
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Dafna1 [17]

Answer:

The last table

Step-by-step explanation:

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3 0
3 years ago
Read 2 more answers
What is the percentage increase of a room that is the size of 96 square feet to a room that is 108 square feet?
katrin [286]

Answer:

12.5% increase OR 112.5% Percentage of Change

Step-by-step explanation:

For this problem consider that our original maximum value is 96 square feet, but our new maximum value is 108 square feet. So to find the change as a percentage (in this case the increase) use the following formula:

Percentage of Change = ( New Maximum / Old Maximum ) * 100

So, let's use this formula to find the percentage change of the room.

Percentage of Change = ( 108 / 96 ) * 100

Percentage of Change = (1.125) * 100

Percentage of Change = 112.5

So the percentage of Change is 112.5%. Note, the old maximum is the point of comparison which is 100%.

So to find the increase, we will do 112.5% - 100% to get 12.5%. Hence, we have a 12.5% increase of a 108 square foot room compared to a room of 96 square feet.

Cheers.

6 0
2 years ago
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