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ratelena [41]
3 years ago
9

Mary is painting pumpkins to earn money. She plans on selling each pumpkin for $7.50. She currently has $200 in her savings acco

unt. Is the amount of money in her bank account proportional to the number of pumpkin she sells?
Mathematics
1 answer:
bixtya [17]3 years ago
7 0

Answer: No. It's not proportional

Step-by-step explanation:

The direct proportion in mathematics is expressed as:

y = kx

where

y = $200

k = constant

x = $7.50

We then solve for k

y = kx

200 = 7.50k

k = 200/7.50

k = 26.67

Since k isn't a whole number, then the amount of money in her bank account proportional to the number of pumpkin she sells.

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---------------------------------------------------------------------------------------------------------

Given any 2 point P(m,n) and Q(k,l),<span>

the coordinates of the midpoint of the line segment PQ are given by the formula:

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-------------------------------------------------------------------------------------------------

thus the coordinates of points M_{JK}, M_{KL}, M_{LM}, M_{JM},

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M_{JK}= (\frac{-3+1}{2}, \frac{1+3}{2})=(-1,2), \\\\M_{KL}= (\frac{1+5}{2}, \frac{3-1}{2}=(3,1), \\\\M_{LM}= (\frac{5-1}{2}, \frac{-1-3}{2})=(2, -2),\\\\ M_{JM}= (\frac{-3-1}{2}, \frac{1-3}{2})=(-2,-1)


------------------------------------------------------------------------------------------------

The distance between any 2 points P(a,b) and Q(c,d) in the coordinate plane, is given by the formula:<span>

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------------------------------------------------------------------------------------------------

thus the distances connecting the opposite entrances can be calculated as follows:


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Thus the total distance of the paths joining the opposite entrances is 

5+5.39 units = 50 m + 53.9 m = 104 m (rounded to the nearest meter)


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