Question

Primo car rental agency charges $30 per day plus $0.30 per mile. Ultimo car rental agency charges $30 per day plus $0.70 per mile. Find the daily mileage for
which the Ultimo charge is twice the Primo charge.

Answer 1

Here, we are required to find the daily mileage for which the Ultimo charge is twice the Primo charge.

The daily mileage for which the Ultimo charge is twice the Primo charge is at 300miles.

For the Primo car rental agency;

• Daily charge, P(c) = $0.30x + $30

For the Ultimo car rental agency;

• Daily charge, U(c) = $0.70x + $30

where x = number of miles covered.

The question requests that we find the daily mileage for which the Ultimo charge is twice the Primo charge,. i.e U(c) = 2P(c)

Therefore,

$0.70x + $30 = 2($0.30x + $30)

$0.70x + $30 = 2($0.30x + $30)$0.70x + $30 = $0.60x + $60

$0.70x + $30 = 2($0.30x + $30)$0.70x + $30 = $0.60x + $60$0.10x = $30

x = 300 miles.

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