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dangina [55]
4 years ago
10

A car rental costs $50 for the first day. Additional days cost $35 per day, unless the car is rented for 7 days or more, in whic

h case there is a 10% discount on the daily rate. Identify the expression which represents the cost of renting a car if the car has been rented for more than a week.
A.) 45+35x
B.) 45+31.5x
C.) 50+35x
D.) 50+31.5x
Mathematics
2 answers:
Elan Coil [88]4 years ago
4 0
The answer is D,I think it's help
Anni [7]4 years ago
3 0

Answer:

Option D \$50+\$31.5x

Step-by-step explanation:

Let

x------> the number of days

y----> the cost of renting a car

we know that

For x

y=\$50+\$35x

For x\geq 7\ days

The rate is equal to

0.90*\$35=\$31.5

so

y=\$50+\$31.5x

In this problem. the car has been rented for more than a week

therefore

x> 7\ days

The cost of renting a car is equal to

y=\$50+\$31.5x


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Answer: speed of the car is 88 miles per hour

the speed of the motorcycle is 78 miles per hour

Step-by-step explanation:

Number of miles travelled by car = 312

Number of miles travelled by motorcycle = 272

Let x = speed of the car

Let y = speed of the motorcycle

If the car's speed is 10mph more than the motorcycle's, it means

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Time taken for car to travel 312 miles is distance /speed = 312/x

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The car travels 312 miles in the same time that a motorcycle traveled 272.

This means

312/x = 272/y

312y = 272x

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Substituting y = 272x/312 into equation 1, it becomes

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312x = 272x + 3120

312x-272x = 3120

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x = 3120/40 = 78 miles per hour

x = y + 10 = y + 78

x = 88 miles per hour

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