The value of `(f(1.5) - f(1))/(0.25)`, where `f(x) = x^(2)`, is

Options

A. 1
B. 1.5
C. 2.5
D. 5

Answer

To solve the problem, we need to evaluate the expression \((f(1.5) - f(1))/(0.25)\) where \(f(x) = x^2\).

### Step-by-Step Solution:

1. **Find \(f(1.5)\)**:
\[ f(1.5) = (1.5)^2 = 2.25 \]

2. **Find \(f(1)\)**:
\[ f(1) = (1)^2 = 1 \]

3. **Substitute the values into the expression**:
\[ f(1.5) - f(1) = 2.25 - 1 = 1.25 \]

4. **Now, divide by \(0.25\)**:
\[ \frac{f(1.5) - f(1)}{0.25} = \frac{1.25}{0.25} \]

5. **Calculate the division**:
\[ \frac{1.25}{0.25} = 5 \]

Thus, the value of \((f(1.5) - f(1))/(0.25)\) is **5**.