11 Beach Bicycles sells two-seater bicycles. Is markup rate is $$ 65 \% $$ which equation repreants the mew price for a bicycle, $$ x $$. given an original price, $$ x $$ ?

Question

UpStudy AI · Accepted Answer

To determine the equation that represents the new price of a bicycle after applying a **65% markup** to the original price, let's define the variables clearly:

- **Let $$ P $$ be the original price** of the bicycle.
- **Let $$ x $$ be the new price** after the markup.

### Understanding Markup
A **markup of 65%** means that the new price is **65% higher** than the original price. Mathematically, this can be expressed as:

$$
\text{New Price} = \text{Original Price} + (0.65 \times \text{Original Price})
$$

### Formulating the Equation
Substituting the variables:

$$
x = P + 0.65P
$$

This can be simplified by factoring out $$ P $$:

$$
x = P(1 + 0.65)
$$
$$
x = 1.65P
$$

### Final Equation
Therefore, the equation representing the new price $$ x $$ in terms of the original price $$ P $$ is:

$$
x = 1.65 \times P
$$

### Example
If the original price $$ P $$ is \$200:

$$
x = 1.65 \times 200 = \$330
$$

So, the new price after a 65% markup would be \$330.

**Summary:**

$$
\boxed{x = 1.65 \times \text{(original price)}}
$$

This equation shows that the new price $$ x $$ is **165%** of the original price, accounting for the 65% markup.
The new price $$ x $$ after a 65% markup is calculated by multiplying the original price by 1.65. So, $$ x = 1.65 \times \text{original price} $$.

11 Beach Bicycles sells two-seater bicycles. Is markup rate is \( 65 \% \) which equation repreants the mew price for a bicycle, \( x \). given an original price, \( x \) ?

Real Tutor Solution

Answer

Solution

Extra Insights

Related Questions

Latest Algebra Questions