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.

Answer 1

To set up a linear model for the situation, let's define the variables involved:

- Let \( x \) be the cost per apple.
- The fixed cost for the basket is $5.00.
- She picks 10 apples.

The total cost (C) can be expressed with the following formula:
\[
C = \text{basket cost} + (\text{number of apples} \times \text{cost per apple})
\]
Substituting the known values into the equation:
\[
C = 5.00 + (10 \times x)
\]

According to the problem, the total cost (C) is $7.50. Therefore, we can set up the equation:
\[
7.50 = 5.00 + (10 \times x)
\]

To solve for \( x \), we first subtract the basket cost from both sides:
\[
7.50 - 5.00 = 10x
\]
\[
2.50 = 10x
\]

Next, divide both sides by 10 to solve for \( x \):
\[
x = \frac{2.50}{10} = 0.25
\]

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

Finally, the answer as a whole number followed by a decimal and two digits is:
\[
0.25
\]