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Continuous Graph

If a car trav...

Question

If a car travelled 4miles/gallon for the first $20$ miles and 7.5miles/gallon for the next $75$ miles, how much gasoline is consumed in the last $95$ miles?

A

5 Gallons

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B

10 Gallons

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C

15 Gallons

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D

20 Gallons

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Solution

The correct option is C 15 Gallons
$F o r t h e f i r s t 20 m i l e s, t h e c a r u s e s u p \frac{20 m i l e s}{4 m i l e s / g a l l o n} = 5 g a l l o n s o f g a s o l i n e . F o r t h e n e x t 75 m i l e s, t h e c a r u s e s u p \frac{75 m i l e s}{7.5 m i l e s / g a l l o n} = 10 g a l l o n s o f g a s o l i n e . T h e r e f o r e, t h e c a r c o n s u m e s 5 + 10 = 15 g a l l o n s o f g a s o l i n e i n t h e l a s t 95 m i l e s .$

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