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Sergio [31]
3 years ago
7

Gabriel is deciding between two different movie streaming sites to subscribe to. Plan A costs $8 per month plus $2.50 per movie

watched. Plan B costs $24 per month plus $0.50 per movie watched. Let AA represent the monthly cost of Plan A if Gabriel watches xx per month, and let BB represent the monthly cost of Plan B if Gabriel watches xx movies per month. Write an equation for each situation, in terms of x,x, and determine which plan would be cheaper if Gabriel plans on watching 6 movies each month
Mathematics
1 answer:
Alinara [238K]3 years ago
8 0

Answer:

A= 2.50x+82.50x+8

B= 0.50x+240.50x+24

Step-by-step explanation:

Plan A is $4 cheaper than Plan B when watching 6 movies.

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Answer: speed of the car is 88 miles per hour

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Step-by-step explanation:

Number of miles travelled by car = 312

Number of miles travelled by motorcycle = 272

Let x = speed of the car

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

x = y + 10 - - -- - - 1

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

Time taken for motorcycle to travel 272 miles is distance /speed = 272/y

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

This means

312/x = 272/y

312y = 272x

y = 272x/312

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

x = 272x/312 + 10

312x = 272x + 3120

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40x = 3120

x = 3120/40 = 78 miles per hour

x = y + 10 = y + 78

x = 88 miles per hour

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