Question

Genesis goes apple picking. She has to pay $5.00 for a basket plus a certain rate per apple. She puts 10 apples in her basket, and the final cost is $7.50. Write a linear model to represent the situation. What is the amount per apple that Genesis has to pay? Enter your response as a whole number followed by a decimal and two digits.(1 point)
$

Answer 1

To solve the problem, we need to set up a linear model based on the information given.

Let \( r \) be the rate per apple. The total cost for Genesis can be expressed as the sum of the basket cost and the cost for the apples. The cost equation can be written as:

\[
\text{Total Cost} = \text{Cost of Basket} + (\text{Number of Apples} \times \text{Cost per Apple})
\]

Given:
- Cost of the basket = $5.00
- Number of apples = 10
- Total cost = $7.50

We can plug these values into the equation:

\[
7.50 = 5.00 + (10 \times r)
\]

Now, we simplify this equation:

\[
7.50 - 5.00 = 10r
\]
\[
2.50 = 10r
\]

Now, divide both sides by 10 to solve for \( r \):

\[
r = \frac{2.50}{10} = 0.25
\]

Thus, the amount Genesis has to pay per apple is \( 0.25 \).

In the specified format (whole number followed by a decimal and two digits), the answer is:

\[
0.25
\]