Question

10 jackson, olivia, and manny are playing a math game. jackson answers 12 questions correctly. olivia answers twice as many questions correctly as manny. manny answers four less questions correctly than jackson. which frequency table shows how many questions jackson, olivia, and manny answered correctly? a \

$$\begin{tabular}{|c|c|} \\hline jackson & 12 \\\\ \\hline olivia & 14 \\\\ \\hline manny & 7 \\\\ \\hline \\end{tabular}$$

b \

$$\begin{tabular}{|c|c|} \\hline jackson & 12 \\\\ \\hline olivia & 8 \\\\ \\hline manny & 16 \\\\ \\hline \\end{tabular}$$

c \

$$\begin{tabular}{|c|c|} \\hline jackson & 12 \\\\ \\hline olivia & 16 \\\\ \\hline manny & 8 \\\\ \\hline \\end{tabular}$$

d \

$$\begin{tabular}{|c|c|} \\hline jackson & 12 \\\\ \\hline olivia & 24 \\\\ \\hline manny & 8 \\\\ \\hline \\end{tabular}$$

Explanation:

Step1: Calcular respuestas correctas de Manny

Manny responde 4 menos que Jackson. Jackson tiene 12, así que Manny = \( 12 - 4 = 8 \).

Step2: Calcular respuestas correctas de Olivia

Olivia responde el doble que Manny. Manny tiene 8, así que Olivia = \( 8 \times 2 = 16 \).

Step3: Comparar con las tablas

Comparamos los valores: Jackson = 12, Olivia = 16, Manny = 8. Esto coincide con la tabla C.

Answer:

C. Jackson 12, Olivia 16, Manny 8