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To take a taxi, it costs
$3.00 plus an additional
$2.00 per mile traveled. You spent exactly
$20 on a taxi, which includes the
$1 tip you left.
How many miles did you travel?
miles

To take a taxi, it costs $\$ 3.00$ plus an additional $\$ 2.00$ per mile traveled. You spent exactly $\$ 20$ on a taxi, which includes the $\$ 1$ tip you left. $\newline$ How many miles did you travel? $\newline$ miles

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Weighted averages: word problems

Full solution

Q. To take a taxi, it costs

\$ 3.00

plus an additional

\$ 2.00

per mile traveled. You spent exactly

\$ 20

on a taxi, which includes the

\$ 1

tip you left.

\newline

How many miles did you travel?

\newline

miles

Subtract tip from total: First, subtract the tip from the total amount spent to find out how much was spent on the taxi fare itself. $\$20$ (total spent) - $\$1$ (tip) = $\$19$ (taxi fare)
Subtract initial cost: Next, subtract the initial taxi cost from the taxi fare to find out how much was spent on the miles traveled. $\$19$ (taxi fare) - $\$3$ (initial cost) = $\$16$ (cost for miles)
Divide cost for miles: Now, divide the cost for miles by the cost per mile to find out the number of miles traveled. $\$16$ (cost for miles) $\div$ $\$2$ (cost per mile) = $8$ miles

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\newline

The given equation relates the standard error,

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1

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n=\left(\frac{\sigma}{S E}\right)^{2}

\newline

n=\frac{\sigma^{2}}{S E}

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\newline

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Round your answer, if necessary, to the nearest hundredth.

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