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Ivahew [28]
3 years ago
11

A rental car company chargea a flat daily fee plus a charge for each mile driven. A car rented for 5 days and driven for 300 mil

es costs $178, while a car rented for 4 days and driven for 500 miles costs $197. Find the daily fee and the charge fee for each mile driven
Mathematics
1 answer:
stellarik [79]3 years ago
3 0
5x + 300y = 178
4x + 500y = 197

Multiply the first equation by 5 and the second equation by -3.

25x + 1500y = 890
-12x - 1500y = -591 Subtract.
------------------------------
13x = 299 Divide.

x = 23.

Solve for y by plugging in 23 for x.

4(23) + 500y = 197

92 + 500y = 197

500y = 105

y = .21


The Daily Fee is $23 and the Charge Fee per mile is $0.21.
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Solving for a gives us: a = P-c-b

Step-by-step explanation:

Solving an equation for a variable means that we have to isolate the variable in the equation

Given equation is:

P = a+c+b

For isolating a, subtracting c from both sides

P-c = a+c+b-c\\P-c = a+b

Subtracting b from both sides

P-c-b = a+b-b\\a = P-c-b

Hence,

Solving for a gives us: a = P-c-b

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m_r=\dfrac{\Delta y}{\Delta x}=\dfrac{5-(-1)}{1-7}=\dfrac{6}{-6}\iff m_r=-1


p\perp r\Longrightarrow m_p\cdot m_r=-1\Longrightarrow m_p\cdot(-1)=-1\iff m_p=1

We can calculate the equation of p by using its slope and its point P:

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