A car rental company charges x dollars to rent a truck, plus y dollars per kilometre. Find x and y if the rental charge is $90 for 100 km, and $110 for 150 km.

Question

Mathematics

Braden

7 January, 04:19

A car rental company charges x dollars to rent a truck, plus y dollars per kilometre. Find x and y if the rental charge is $90 for 100 km, and $110 for 150 km.

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Answers (1)

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Toby Peters · Answer 1

X=50 dollars Y=0.4 dollars

Step-by-step explanation:

Starting with the two equations:

$90 = X (truck cost) + Y (cost per km) * 100km

and

110=X+Y*150

we solve the first equation for X: X = 90-100Y

and plug X into the second equation: 110=90-100Y+150Y

add like terms: 20=50Y

so Y = 2/5 or. 4

Plug Y into the first equation: 90 = X+100 (.4)

Evaluate: 90 = 40+X so X = 50