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professor190 [17]
4 years ago
9

Decide which food truck you would like to purchase (the blue or green food truck) and determine what the total cost will it be t

o make it fully functional. A local business has decided to donate 3 times as much money we you have saved in order to purchase the food truck. What is the minimum amount you need to save in order to purchase the food truck?
Mathematics
1 answer:
Nonamiya [84]4 years ago
6 0

Answer: x/3

Step-by-step explanation:

There is no enough sufficient information in the question to determine the total cost to make the truck functional but we solve this type of question by assuming the total cost of the chosen truck to b "x". This means the cost price of the desired truck is x.

Let the amount you have saved be "y".

Since a local business has decided to support your business with 3times the amount you have saved and this money must be enough to buy the desired truck, then we equates the tripled amount you have to the cost price of the truck. That is:

3y = x

y = x/3.

This means that the minimum amount you must save to buy the truck must NOT be less than "x/3" where "x" is the total cost of functionality of the truck.

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\textup{Given equation is: $4x + 36y = 80  $}\\\textup{This can be written in the form of $y = mx + a$ as follows}\\$ 36y = -4x + 80 $\\$ \implies y = \frac{80}{36} - \frac{4}{36}x $\\$ \implies y = \frac{-1}{9}x + \frac{20}{9} $\\\textup{This means that the slope of this line is $m = \frac{-1}{9}$}\\

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\textup{The perpendicular line passes through the point $(3,6)$}\\\textup{Using the \textbf{point-slope formula}, we get:}\\

$$ y - y_1 = m(x - x_1) $$$ \implies y - 6 = 9(x - 3) $\\\textup{After solving this reduces to $y = 9x + 21$ }

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