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jeyben [28]
3 years ago
7

The cost to rent a moving truck is a flat fee of $25 plus $0.60 per mile. The equation c = 25 + 0.6m models the cost, c, in doll

ars for the number of miles, m, traveled in the truck.
Identify the independent and dependent variables.

The
is the independent variable.

The
is the dependent variable.

Mathematics
1 answer:
3241004551 [841]3 years ago
5 0
The independent is 25 and the dependent is .6.
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For this case we have the following equation:

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Rewriting we have:

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Dividing by 2 to both sides of the equation:

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We apply the quadratic formula:

x = \frac {-b \pm \sqrt {b ^ 2-4 (a) (c)}} {2a}

We have to:

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Substituting:

x = \frac {-6 \pm \sqrt {6 ^ 2-4 (1) (- 6)}} {2 (1)}\\x = \frac {-6 \pm \sqrt {36 + 24}} {2}\\x = \frac {-6 \pm \sqrt {60}} {2}\\x = \frac {-6 \pm \sqrt {4 * 15}} {2}\\x = \frac {-6 \pm2 \sqrt {15}} {2}

Thus, we have two roots:

x_ {1} = - 3+ \sqrt {15}\\x_ {2} = - 3- \sqrt {15}

ANswer:

x_ {1} = - 3+ \sqrt {15}\\x_ {2} = - 3- \sqrt {15}

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