Question

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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

Answer 1

bro what I put down the choices

Answer 2

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**.

Answer 3

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!