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Artyom0805 [142]

2 years ago

15

Manuel rented a truck for one day. There was a base fee of $15.99, and there was an additional charge of 92 cents for each mile

driven. Manuel had to pay $141.11 when he returned the truck. For how many miles did he drive the truck?

1 answer:

inysia [295]2 years ago

5 0

Answer:

8

Step-by-step explanation:

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Make y the subject

$18y = -6x + 11$

Divide by 18

$y = -\frac{1}{3}x + \frac{11}{18}$

In $y = mx + b$

$m \to$ slope

So, the slope of $y = -\frac{1}{3}x + \frac{11}{18}$ is:

$m = -\frac 13$

Since, the line is perpendicular to $6x + 18y = 11$

The slope of the line is:

$m_1 = -\frac{1}{m}$

So, we have:

$m_1 = -\frac{1}{-1/3}$

$m_1 = 3$

The line passes through (4,-2).

So, the equation is:

$y =m(x - x_1) + y_1$

This gives:

$y =3(x - 4) -2$

$y =3x - 12 -2$

$y =3x - 14$

Hence, the linear equation is:

$y =3x - 14$

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