Question

Use the formula from problem #12 to find the f(15).

Answer 1

The answer to finding
`\(f(15)\)` using the formula from problem #12 is
`\(f(15) = 4 \cdot 15 - 7 = 53\).`

Step-by-step explanation:

In problem #12, a formula for
`\(f(x)\)` was provided. The formula is
`\(f(x) = 4x - 7\)`. To find
`\(f(15)\),` we substitute
`\(x = 15\)` into the formula:

`\[f(15) = 4 \cdot 15 - 7 = 60 - 7 = 53\]`

Therefore,
`\(f(15)\)` is equal to 53.

The given formula expresses a linear function, where
`\(f(x)\)` is determined by multiplying the input
`(\(x\))` by 4, then subtracting 7. Applying this formula to
`\(f(15)\)` involves substituting 15 for
`\(x\)` in the formula and calculating the result. The final value of 53 represents the output of the function when
`\(x\)` is 15.

Understanding how to apply formulas to calculate specific function values is fundamental in mathematics. In this case, the formula
`\(f(x) = 4x - 7\)` allows us to find the value of
`\(f(15)\)` efficiently. This concept is crucial in various mathematical applications, including algebra, calculus, and mathematical modeling, where functions are used to represent relationships between variables.