A parking garage charges an initial fee of $7.00 for up to 2 hours of parking, and an hourly rate for each additional hour

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Answer:

$7.00*2h=r

I need more information to answer the question correctly.

Step-by-step explanation:


The linear equation that can be used to find x, the hourly parking rate after the initial fee is given by: Option D: 3x + 7.00 = 20.50

How to form mathematical expression from the given description?

You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4. If something is for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert description to mathematical expressions.

The missing table is attached below.

The question wants to find the equation that can be used to find x, the hourly parking rate after the initial fee.

The options are:

  • 7.00 + x = 20.50
  • 11.50 + 2x = 20.50
  • 7 + 4.50x = 16.00
  • 3x + 7.00 = 20.50

Let hourly rate after the initial fee be $ x

The hourly rate is applied only after 2 hours.

The initial fees is $7

Let we park for 'h' hours. So hourly rate will be applicable on h-2 hours with initial fee.

Then the total cost would be:

Total cost of parking = (h-2)x + 7

From the table, we can get the value of h, and the total cost.

From the options, we see that the problem is using either h = 4 or h = 5, because only for these h, the cost is $16.00 or $20.00

At h = 4, we get:

16.00 = (4-2)x + 7 or 2x + 7 = 16

At h = 5, we get:

20.50 = (5-2)x + 7 or 3x  + 7 = 20.50

Thus, we see that only fourth option is correct.

Thus, the linear equation that can be used to find x, the hourly parking rate after the initial fee is given by: Option D: 3x + 7.00 = 20.50

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