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The car rental place charges a flat fee of $30 to rent a car as well as a daily rate of $35. Which equation represents the cost to rent a car? How much will it cost to rent a car for 10 days?

Y=5(y)x,$300
y=5(6)x,$350
y=5(6x+7),$335
y=5(7x+6),$380

3 answers

To derive the equation that represents the total cost to rent a car, we need to consider both components of the rental fee.

  1. There is a flat fee of $30.
  2. There is a daily rate of $35 for each day you rent the car.

If we let \( x \) be the number of days the car is rented, the total cost \( y \) can be expressed with the equation:

\[ y = 30 + 35x \]

Now, to find out how much it will cost to rent the car for 10 days, we can substitute \( x = 10 \) into the equation:

\[ y = 30 + 35(10) \] \[ y = 30 + 350 \] \[ y = 380 \]

Therefore, the cost to rent a car for 10 days is $380.

Among the equations you provided:

  • y = 5(7x + 6) approximates our form, but multiplying does not result in a valid representation because it is not linear in the provided rental context.

So, the final answer is:

  • The correct representation for the cost is y = 30 + 35x, which gives a rental cost of $380 for 10 days.
bro what I put down the choices

I apologize for not considering your provided options properly. Let's analyze them correctly in the context of the total cost for renting the car.

Here are the options you provided:

  1. \( y = 5(y)x, 300 \)
  2. \( y = 5(6)x, 350 \)
  3. \( y = 5(6x + 7), 335 \)
  4. \( y = 5(7x + 6), 380 \)

Based on the cost structure provided:

  • Flat fee = $30
  • Daily fee = $35 per day

So the cost function should look like \( y = 30 + 35x \).

Let's reanalyze the options you provided:

  1. \( y = 5(y)x, 300 \) - Not a proper representation of the cost. The number 300 is also not relevant here.

  2. \( y = 5(6)x, 350 \) - This also is not a valid representation.

  3. \( y = 5(6x + 7), 335 \) - This simplifies to \( y = 30x + 35 \) which doesn't fit our formula.

  4. \( y = 5(7x + 6), 380 \) - This expands to \( y = 35x + 30 \), which represents the same formula as \( 30 + 35x \), and the cost for 10 days would indeed be $380.

Thus, the correct option that fits the cost to rent a car equation for 10 days is:

\( y = 5(7x + 6), 380 \) (which equates to a cost of $380 for 10 days).

Thank you for your patience!