Chapter 1.7, Problem 4E

Solution

The mathematical expression for the given verbal quantity.

The solution of the formula $V=\frac{1}{3}\pi r^{2}h$ for h is $h=\frac{3V}{\pi r^2}$ .

Given:

The verbal quantity is four more than $5\%$ of a number.

Concept Used:

Verbally the word ” more than” represents addition and “of” represents multiplication mathematically.

Calculation:

To write the expression for statement “Four more than $5\%$ of a number”

Assume the number is $x$ , then $5\%$ of $x$ is equivalent to $\frac{5}{100}\times x$ .

And, the expression for “Four more than $5\%$ of a number” is obtained by adding $4$ to $\frac{5}{100}\times x$

That is, $4+\frac{5}{100}\times x$ .

Hence, the required expression is $4+\frac{5}{100}\times x$ .

Conclusion

The mathematical expression for the given verbal quantity is $4+\frac{5}{100}\times x$ .