Q24. - Algebra 2

Question

A prediction equation for a set of data is $y=0.63x+4.51$. For which x value is the predicted y value $6.4$?

$\begin{array}{l}A)3\\ B)4.5\\ C)6\\ D)8.54\end{array}$

Step-by-Step Solution

Answer

The correct option is $A) 3$.

Step-1 – Substitute the value of y .

The given equation is $y=0.63x+4.51$

Substitute y for $6.4$ into the given equation.

$6.4=0.63x+4.51$

Step-2 – Isolate the variable.

$\begin{array}{l}6.4-4.51=0.63x\\ 1.89=0.63x\end{array}$

Step-3 – Simplify for x .

 $\begin{array}{l}0.63x=1.89\\ x=\frac{1.89}{0.63}\\ x=3\end{array}$

Hence, the correct option is $A) 3$.