Question

Evaluate the following expression $\frac{x^2+y^3}{2+x}$ when $x=4$ and $y=5$:

• A. $3.8$
• B. $14.83$
• C. $19.58$
• D. $23.5$

Answer 1

The correct option is D

$23.5$

To evaluate the expression $\frac{x^2+y^3}{2+x}$

Step-1: Explanation for correct option : Option $\left(\text{D}\right)$ :

Consider the given expression.

$\frac{x^2+y^3}{2+x}$

Substitute $x=4$ and $y=5$ in the above expression :

$\begin{array}{rcl}\frac{{\left(4\right)}^2+{\left(5\right)}^3}{2+4}& =& \frac{16+125}{2+4}\left[\text{Simplifying}\right]\\ & \Rightarrow & \frac{{\left(4\right)}^2+{\left(5\right)}^3}{2+4}=\frac{141}{6}\\ \therefore \frac{{\left(4\right)}^2+{\left(5\right)}^3}{2+4}& =& 23.5\left[\text{Divide by}6\right]\end{array}$

Option $\left(\text{D}\right)$ is correct.

Step-2: Explanation for incorrect options:

Since the value of the expression is $23.5$, so the rest of the options are incorrect.

Hence, option $\left(\text{D}\right)$ is correct answer.